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Finding the Fourth Proportional to 42,165.78, 58,191.40 and 24,260.40

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Solution

The fourth proportional to 42,165.78, 58,191.40 and 24,260.40 is: 33,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,165.78 : 58,191.40 = 24,260.40 : x
  2. Step 2: Convert to fraction form
    42,165.78/58,191.40 = 24,260.40/x
  3. Step 3: Cross multiply
    42,165.78x = 58,191.40 × 24,260.40
  4. Step 4: Simplify right side
    42,165.78x = 1,411,746,640.56
  5. Step 5: Solve for x
    x = 1,411,746,640.56/42,165.78
  6. Step 6: Final answer
    x = 33,480.86

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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.