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Finding the Fourth Proportional to 92,157.27, 138,234.50 and 29,827.77

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Solution

The fourth proportional to 92,157.27, 138,234.50 and 29,827.77 is: 44,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,157.27 : 138,234.50 = 29,827.77 : x
  2. Step 2: Convert to fraction form
    92,157.27/138,234.50 = 29,827.77/x
  3. Step 3: Cross multiply
    92,157.27x = 138,234.50 × 29,827.77
  4. Step 4: Simplify right side
    92,157.27x = 4,123,226,872.07
  5. Step 5: Solve for x
    x = 4,123,226,872.07/92,157.27
  6. Step 6: Final answer
    x = 44,741.20

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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.