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Finding the Fourth Proportional to 31,490.69, 47,232.62 and 9,002.71

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Solution

The fourth proportional to 31,490.69, 47,232.62 and 9,002.71 is: 13,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.69 : 47,232.62 = 9,002.71 : x
  2. Step 2: Convert to fraction form
    31,490.69/47,232.62 = 9,002.71/x
  3. Step 3: Cross multiply
    31,490.69x = 47,232.62 × 9,002.71
  4. Step 4: Simplify right side
    31,490.69x = 425,221,628.19
  5. Step 5: Solve for x
    x = 425,221,628.19/31,490.69
  6. Step 6: Final answer
    x = 13,503.09

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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.