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Finding the Fourth Proportional to 32,542.17, 48,813.70 and 10,374.20

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Solution

The fourth proportional to 32,542.17, 48,813.70 and 10,374.20 is: 15,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.17 : 48,813.70 = 10,374.20 : x
  2. Step 2: Convert to fraction form
    32,542.17/48,813.70 = 10,374.20/x
  3. Step 3: Cross multiply
    32,542.17x = 48,813.70 × 10,374.20
  4. Step 4: Simplify right side
    32,542.17x = 506,403,086.54
  5. Step 5: Solve for x
    x = 506,403,086.54/32,542.17
  6. Step 6: Final answer
    x = 15,561.44

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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.