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Finding the Fourth Proportional to 42,092.25, 58,087.64 and 22,972.17

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Solution

The fourth proportional to 42,092.25, 58,087.64 and 22,972.17 is: 31,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,092.25 : 58,087.64 = 22,972.17 : x
  2. Step 2: Convert to fraction form
    42,092.25/58,087.64 = 22,972.17/x
  3. Step 3: Cross multiply
    42,092.25x = 58,087.64 × 22,972.17
  4. Step 4: Simplify right side
    42,092.25x = 1,334,399,140.98
  5. Step 5: Solve for x
    x = 1,334,399,140.98/42,092.25
  6. Step 6: Final answer
    x = 31,701.78

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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.