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Finding the Fourth Proportional to 52,145.98, 71,961.02 and 29,489.42

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Solution

The fourth proportional to 52,145.98, 71,961.02 and 29,489.42 is: 40,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.98 : 71,961.02 = 29,489.42 : x
  2. Step 2: Convert to fraction form
    52,145.98/71,961.02 = 29,489.42/x
  3. Step 3: Cross multiply
    52,145.98x = 71,961.02 × 29,489.42
  4. Step 4: Simplify right side
    52,145.98x = 2,122,088,774.86
  5. Step 5: Solve for x
    x = 2,122,088,774.86/52,145.98
  6. Step 6: Final answer
    x = 40,695.16

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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.