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Finding the Fourth Proportional to 31,398.59, 47,080.13 and 10,332.94

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Solution

The fourth proportional to 31,398.59, 47,080.13 and 10,332.94 is: 15,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.59 : 47,080.13 = 10,332.94 : x
  2. Step 2: Convert to fraction form
    31,398.59/47,080.13 = 10,332.94/x
  3. Step 3: Cross multiply
    31,398.59x = 47,080.13 × 10,332.94
  4. Step 4: Simplify right side
    31,398.59x = 486,475,871.42
  5. Step 5: Solve for x
    x = 486,475,871.42/31,398.59
  6. Step 6: Final answer
    x = 15,493.56

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