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Finding the Fourth Proportional to 32,584,009.60, 48,876,014.40 and 9,866,036.80

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Solution

The fourth proportional to 32,584,009.60, 48,876,014.40 and 9,866,036.80 is: 14,799,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584,009.60 : 48,876,014.40 = 9,866,036.80 : x
  2. Step 2: Convert to fraction form
    32,584,009.60/48,876,014.40 = 9,866,036.80/x
  3. Step 3: Cross multiply
    32,584,009.60x = 48,876,014.40 × 9,866,036.80
  4. Step 4: Simplify right side
    32,584,009.60x = 482,212,556,707,729.94
  5. Step 5: Solve for x
    x = 482,212,556,707,729.94/32,584,009.60
  6. Step 6: Final answer
    x = 14,799,055.20

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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.