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Finding the Fourth Proportional to 37,863.52, 52,193.28 and 24,431.20

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Solution

The fourth proportional to 37,863.52, 52,193.28 and 24,431.20 is: 33,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863.52 : 52,193.28 = 24,431.20 : x
  2. Step 2: Convert to fraction form
    37,863.52/52,193.28 = 24,431.20/x
  3. Step 3: Cross multiply
    37,863.52x = 52,193.28 × 24,431.20
  4. Step 4: Simplify right side
    37,863.52x = 1,275,144,462.34
  5. Step 5: Solve for x
    x = 1,275,144,462.34/37,863.52
  6. Step 6: Final answer
    x = 33,677.39

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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.