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Finding the Fourth Proportional to 42,151.72, 58,151.10 and 25,375

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Solution

The fourth proportional to 42,151.72, 58,151.10 and 25,375 is: 35,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,151.72 : 58,151.10 = 25,375 : x
  2. Step 2: Convert to fraction form
    42,151.72/58,151.10 = 25,375/x
  3. Step 3: Cross multiply
    42,151.72x = 58,151.10 × 25,375
  4. Step 4: Simplify right side
    42,151.72x = 1,475,584,162.50
  5. Step 5: Solve for x
    x = 1,475,584,162.50/42,151.72
  6. Step 6: Final answer
    x = 35,006.50

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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.