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Finding the Fourth Proportional to 31,501.65, 43,472.27 and 17,354.50

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Solution

The fourth proportional to 31,501.65, 43,472.27 and 17,354.50 is: 23,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.65 : 43,472.27 = 17,354.50 : x
  2. Step 2: Convert to fraction form
    31,501.65/43,472.27 = 17,354.50/x
  3. Step 3: Cross multiply
    31,501.65x = 43,472.27 × 17,354.50
  4. Step 4: Simplify right side
    31,501.65x = 754,439,292.35
  5. Step 5: Solve for x
    x = 754,439,292.35/31,501.65
  6. Step 6: Final answer
    x = 23,949.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.