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Finding the Fourth Proportional to 32,023.92, 48,042.96 and 9,839.28

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Solution

The fourth proportional to 32,023.92, 48,042.96 and 9,839.28 is: 14,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.92 : 48,042.96 = 9,839.28 : x
  2. Step 2: Convert to fraction form
    32,023.92/48,042.96 = 9,839.28/x
  3. Step 3: Cross multiply
    32,023.92x = 48,042.96 × 9,839.28
  4. Step 4: Simplify right side
    32,023.92x = 472,708,135.47
  5. Step 5: Solve for x
    x = 472,708,135.47/32,023.92
  6. Step 6: Final answer
    x = 14,761.10

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1.5x scale

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.