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Finding the Fourth Proportional to 31,471.38, 47,207.43 and 9,285.21

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Solution

The fourth proportional to 31,471.38, 47,207.43 and 9,285.21 is: 13,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.38 : 47,207.43 = 9,285.21 : x
  2. Step 2: Convert to fraction form
    31,471.38/47,207.43 = 9,285.21/x
  3. Step 3: Cross multiply
    31,471.38x = 47,207.43 × 9,285.21
  4. Step 4: Simplify right side
    31,471.38x = 438,330,901.11
  5. Step 5: Solve for x
    x = 438,330,901.11/31,471.38
  6. Step 6: Final answer
    x = 13,927.92

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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.