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Finding the Fourth Proportional to 42,957.33, 59,260.84 and 27,854.88

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Solution

The fourth proportional to 42,957.33, 59,260.84 and 27,854.88 is: 38,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,957.33 : 59,260.84 = 27,854.88 : x
  2. Step 2: Convert to fraction form
    42,957.33/59,260.84 = 27,854.88/x
  3. Step 3: Cross multiply
    42,957.33x = 59,260.84 × 27,854.88
  4. Step 4: Simplify right side
    42,957.33x = 1,650,703,586.90
  5. Step 5: Solve for x
    x = 1,650,703,586.90/42,957.33
  6. Step 6: Final answer
    x = 38,426.59

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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.