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Finding the Fourth Proportional to 32,080,809.60, 48,121,214.40 and 30,947,068.80

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Solution

The fourth proportional to 32,080,809.60, 48,121,214.40 and 30,947,068.80 is: 46,420,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080,809.60 : 48,121,214.40 = 30,947,068.80 : x
  2. Step 2: Convert to fraction form
    32,080,809.60/48,121,214.40 = 30,947,068.80/x
  3. Step 3: Cross multiply
    32,080,809.60x = 48,121,214.40 × 30,947,068.80
  4. Step 4: Simplify right side
    32,080,809.60x = 1,489,210,532,776,350.75
  5. Step 5: Solve for x
    x = 1,489,210,532,776,350.75/32,080,809.60
  6. Step 6: Final answer
    x = 46,420,603.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.