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Finding the Fourth Proportional to 38,442.76, 53,049.80 and 22,537.80

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Solution

The fourth proportional to 38,442.76, 53,049.80 and 22,537.80 is: 31,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.76 : 53,049.80 = 22,537.80 : x
  2. Step 2: Convert to fraction form
    38,442.76/53,049.80 = 22,537.80/x
  3. Step 3: Cross multiply
    38,442.76x = 53,049.80 × 22,537.80
  4. Step 4: Simplify right side
    38,442.76x = 1,195,625,838.78
  5. Step 5: Solve for x
    x = 1,195,625,838.78/38,442.76
  6. Step 6: Final answer
    x = 31,101.46

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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.