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Finding the Fourth Proportional to 75,967.92, 113,971.68 and 42,712.56

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Solution

The fourth proportional to 75,967.92, 113,971.68 and 42,712.56 is: 64,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967.92 : 113,971.68 = 42,712.56 : x
  2. Step 2: Convert to fraction form
    75,967.92/113,971.68 = 42,712.56/x
  3. Step 3: Cross multiply
    75,967.92x = 113,971.68 × 42,712.56
  4. Step 4: Simplify right side
    75,967.92x = 4,868,022,220.30
  5. Step 5: Solve for x
    x = 4,868,022,220.30/75,967.92
  6. Step 6: Final answer
    x = 64,079.97

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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.