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Finding the Fourth Proportional to 38,607.76, 57,893.14 and 18,863.20

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Solution

The fourth proportional to 38,607.76, 57,893.14 and 18,863.20 is: 28,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,607.76 : 57,893.14 = 18,863.20 : x
  2. Step 2: Convert to fraction form
    38,607.76/57,893.14 = 18,863.20/x
  3. Step 3: Cross multiply
    38,607.76x = 57,893.14 × 18,863.20
  4. Step 4: Simplify right side
    38,607.76x = 1,092,049,878.45
  5. Step 5: Solve for x
    x = 1,092,049,878.45/38,607.76
  6. Step 6: Final answer
    x = 28,285.76

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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.