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Finding the Fourth Proportional to 77,967.96, 107,595.30 and 42,158.04

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Solution

The fourth proportional to 77,967.96, 107,595.30 and 42,158.04 is: 58,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.96 : 107,595.30 = 42,158.04 : x
  2. Step 2: Convert to fraction form
    77,967.96/107,595.30 = 42,158.04/x
  3. Step 3: Cross multiply
    77,967.96x = 107,595.30 × 42,158.04
  4. Step 4: Simplify right side
    77,967.96x = 4,536,006,961.21
  5. Step 5: Solve for x
    x = 4,536,006,961.21/77,967.96
  6. Step 6: Final answer
    x = 58,177.83

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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.