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Finding the Fourth Proportional to 86,114.90, 129,119.52 and 33,462.92

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Solution

The fourth proportional to 86,114.90, 129,119.52 and 33,462.92 is: 50,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114.90 : 129,119.52 = 33,462.92 : x
  2. Step 2: Convert to fraction form
    86,114.90/129,119.52 = 33,462.92/x
  3. Step 3: Cross multiply
    86,114.90x = 129,119.52 × 33,462.92
  4. Step 4: Simplify right side
    86,114.90x = 4,320,716,168.20
  5. Step 5: Solve for x
    x = 4,320,716,168.20/86,114.90
  6. Step 6: Final answer
    x = 50,173.85

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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.