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Finding the Fourth Proportional to 125,043.78, 187,564.86 and 31,549.62

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Solution

The fourth proportional to 125,043.78, 187,564.86 and 31,549.62 is: 47,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,043.78 : 187,564.86 = 31,549.62 : x
  2. Step 2: Convert to fraction form
    125,043.78/187,564.86 = 31,549.62/x
  3. Step 3: Cross multiply
    125,043.78x = 187,564.86 × 31,549.62
  4. Step 4: Simplify right side
    125,043.78x = 5,917,600,058.35
  5. Step 5: Solve for x
    x = 5,917,600,058.35/125,043.78
  6. Step 6: Final answer
    x = 47,324.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.