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Finding the Fourth Proportional to 31,641.40, 47,462.10 and 29,001.48

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Solution

The fourth proportional to 31,641.40, 47,462.10 and 29,001.48 is: 43,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.40 : 47,462.10 = 29,001.48 : x
  2. Step 2: Convert to fraction form
    31,641.40/47,462.10 = 29,001.48/x
  3. Step 3: Cross multiply
    31,641.40x = 47,462.10 × 29,001.48
  4. Step 4: Simplify right side
    31,641.40x = 1,376,471,143.91
  5. Step 5: Solve for x
    x = 1,376,471,143.91/31,641.40
  6. Step 6: Final answer
    x = 43,502.22

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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.