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Finding the Fourth Proportional to 86,419.40, 129,629.10 and 24,089.90

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Solution

The fourth proportional to 86,419.40, 129,629.10 and 24,089.90 is: 36,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,419.40 : 129,629.10 = 24,089.90 : x
  2. Step 2: Convert to fraction form
    86,419.40/129,629.10 = 24,089.90/x
  3. Step 3: Cross multiply
    86,419.40x = 129,629.10 × 24,089.90
  4. Step 4: Simplify right side
    86,419.40x = 3,122,752,056.09
  5. Step 5: Solve for x
    x = 3,122,752,056.09/86,419.40
  6. Step 6: Final answer
    x = 36,134.85

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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.