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Finding the Fourth Proportional to 42,857.66, 59,123.87 and 27,755.28

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Solution

The fourth proportional to 42,857.66, 59,123.87 and 27,755.28 is: 38,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.66 : 59,123.87 = 27,755.28 : x
  2. Step 2: Convert to fraction form
    42,857.66/59,123.87 = 27,755.28/x
  3. Step 3: Cross multiply
    42,857.66x = 59,123.87 × 27,755.28
  4. Step 4: Simplify right side
    42,857.66x = 1,640,999,854.25
  5. Step 5: Solve for x
    x = 1,640,999,854.25/42,857.66
  6. Step 6: Final answer
    x = 38,289.54

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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.