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Finding the Fourth Proportional to 31,472.62, 47,216.26 and 10,411.81

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Solution

The fourth proportional to 31,472.62, 47,216.26 and 10,411.81 is: 15,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.62 : 47,216.26 = 10,411.81 : x
  2. Step 2: Convert to fraction form
    31,472.62/47,216.26 = 10,411.81/x
  3. Step 3: Cross multiply
    31,472.62x = 47,216.26 × 10,411.81
  4. Step 4: Simplify right side
    31,472.62x = 491,606,465.92
  5. Step 5: Solve for x
    x = 491,606,465.92/31,472.62
  6. Step 6: Final answer
    x = 15,620.13

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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.