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Finding the Fourth Proportional to 42,805.80, 59,071.68 and 24,911.28

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Solution

The fourth proportional to 42,805.80, 59,071.68 and 24,911.28 is: 34,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,805.80 : 59,071.68 = 24,911.28 : x
  2. Step 2: Convert to fraction form
    42,805.80/59,071.68 = 24,911.28/x
  3. Step 3: Cross multiply
    42,805.80x = 59,071.68 × 24,911.28
  4. Step 4: Simplify right side
    42,805.80x = 1,471,551,160.55
  5. Step 5: Solve for x
    x = 1,471,551,160.55/42,805.80
  6. Step 6: Final answer
    x = 34,377.38

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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.