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Finding the Fourth Proportional to 68,575.86, 102,872.01 and 24,193.44

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Solution

The fourth proportional to 68,575.86, 102,872.01 and 24,193.44 is: 36,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,575.86 : 102,872.01 = 24,193.44 : x
  2. Step 2: Convert to fraction form
    68,575.86/102,872.01 = 24,193.44/x
  3. Step 3: Cross multiply
    68,575.86x = 102,872.01 × 24,193.44
  4. Step 4: Simplify right side
    68,575.86x = 2,488,827,801.61
  5. Step 5: Solve for x
    x = 2,488,827,801.61/68,575.86
  6. Step 6: Final answer
    x = 36,293.06

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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.