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Finding the Fourth Proportional to 52,158.69, 71,989.20 and 34,253.24

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Solution

The fourth proportional to 52,158.69, 71,989.20 and 34,253.24 is: 47,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.69 : 71,989.20 = 34,253.24 : x
  2. Step 2: Convert to fraction form
    52,158.69/71,989.20 = 34,253.24/x
  3. Step 3: Cross multiply
    52,158.69x = 71,989.20 × 34,253.24
  4. Step 4: Simplify right side
    52,158.69x = 2,465,862,985.06
  5. Step 5: Solve for x
    x = 2,465,862,985.06/52,158.69
  6. Step 6: Final answer
    x = 47,276.17

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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.