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Finding the Fourth Proportional to 32,512.40, 48,784.80 and 18,483.20

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Solution

The fourth proportional to 32,512.40, 48,784.80 and 18,483.20 is: 27,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.40 : 48,784.80 = 18,483.20 : x
  2. Step 2: Convert to fraction form
    32,512.40/48,784.80 = 18,483.20/x
  3. Step 3: Cross multiply
    32,512.40x = 48,784.80 × 18,483.20
  4. Step 4: Simplify right side
    32,512.40x = 901,699,215.36
  5. Step 5: Solve for x
    x = 901,699,215.36/32,512.40
  6. Step 6: Final answer
    x = 27,734.01

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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.