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Finding the Fourth Proportional to 52,061.40, 71,825.40 and 34,166.34

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Solution

The fourth proportional to 52,061.40, 71,825.40 and 34,166.34 is: 47,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,061.40 : 71,825.40 = 34,166.34 : x
  2. Step 2: Convert to fraction form
    52,061.40/71,825.40 = 34,166.34/x
  3. Step 3: Cross multiply
    52,061.40x = 71,825.40 × 34,166.34
  4. Step 4: Simplify right side
    52,061.40x = 2,454,011,037.04
  5. Step 5: Solve for x
    x = 2,454,011,037.04/52,061.40
  6. Step 6: Final answer
    x = 47,136.86

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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.