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Finding the Fourth Proportional to 42,857.58, 59,129.71 and 27,761.82

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Solution

The fourth proportional to 42,857.58, 59,129.71 and 27,761.82 is: 38,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.58 : 59,129.71 = 27,761.82 : x
  2. Step 2: Convert to fraction form
    42,857.58/59,129.71 = 27,761.82/x
  3. Step 3: Cross multiply
    42,857.58x = 59,129.71 × 27,761.82
  4. Step 4: Simplify right side
    42,857.58x = 1,641,548,074.53
  5. Step 5: Solve for x
    x = 1,641,548,074.53/42,857.58
  6. Step 6: Final answer
    x = 38,302.39

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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.