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Finding the Fourth Proportional to 52,059.17, 71,859.22 and 31,641.17

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Solution

The fourth proportional to 52,059.17, 71,859.22 and 31,641.17 is: 43,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,059.17 : 71,859.22 = 31,641.17 : x
  2. Step 2: Convert to fraction form
    52,059.17/71,859.22 = 31,641.17/x
  3. Step 3: Cross multiply
    52,059.17x = 71,859.22 × 31,641.17
  4. Step 4: Simplify right side
    52,059.17x = 2,273,709,357.69
  5. Step 5: Solve for x
    x = 2,273,709,357.69/52,059.17
  6. Step 6: Final answer
    x = 43,675.48

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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.