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Finding the Fourth Proportional to 42,327.80, 58,415.82 and 23,471

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Solution

The fourth proportional to 42,327.80, 58,415.82 and 23,471 is: 32,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,327.80 : 58,415.82 = 23,471 : x
  2. Step 2: Convert to fraction form
    42,327.80/58,415.82 = 23,471/x
  3. Step 3: Cross multiply
    42,327.80x = 58,415.82 × 23,471
  4. Step 4: Simplify right side
    42,327.80x = 1,371,077,711.22
  5. Step 5: Solve for x
    x = 1,371,077,711.22/42,327.80
  6. Step 6: Final answer
    x = 32,391.90

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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.