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Finding the Fourth Proportional to 42,894.16, 59,174.16 and 27,791.88

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Solution

The fourth proportional to 42,894.16, 59,174.16 and 27,791.88 is: 38,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.16 : 59,174.16 = 27,791.88 : x
  2. Step 2: Convert to fraction form
    42,894.16/59,174.16 = 27,791.88/x
  3. Step 3: Cross multiply
    42,894.16x = 59,174.16 × 27,791.88
  4. Step 4: Simplify right side
    42,894.16x = 1,644,561,153.82
  5. Step 5: Solve for x
    x = 1,644,561,153.82/42,894.16
  6. Step 6: Final answer
    x = 38,339.98

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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.