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Finding the Fourth Proportional to 42,910.52, 59,229.48 and 27,804

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Solution

The fourth proportional to 42,910.52, 59,229.48 and 27,804 is: 38,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,910.52 : 59,229.48 = 27,804 : x
  2. Step 2: Convert to fraction form
    42,910.52/59,229.48 = 27,804/x
  3. Step 3: Cross multiply
    42,910.52x = 59,229.48 × 27,804
  4. Step 4: Simplify right side
    42,910.52x = 1,646,816,461.92
  5. Step 5: Solve for x
    x = 1,646,816,461.92/42,910.52
  6. Step 6: Final answer
    x = 38,377.92

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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.