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Finding the Fourth Proportional to 42,865.31, 59,160.86 and 25,871.97

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Solution

The fourth proportional to 42,865.31, 59,160.86 and 25,871.97 is: 35,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,865.31 : 59,160.86 = 25,871.97 : x
  2. Step 2: Convert to fraction form
    42,865.31/59,160.86 = 25,871.97/x
  3. Step 3: Cross multiply
    42,865.31x = 59,160.86 × 25,871.97
  4. Step 4: Simplify right side
    42,865.31x = 1,530,608,059.77
  5. Step 5: Solve for x
    x = 1,530,608,059.77/42,865.31
  6. Step 6: Final answer
    x = 35,707.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.