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Finding the Fourth Proportional to 80,019.18, 120,034.89 and 23,854.98

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Solution

The fourth proportional to 80,019.18, 120,034.89 and 23,854.98 is: 35,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,019.18 : 120,034.89 = 23,854.98 : x
  2. Step 2: Convert to fraction form
    80,019.18/120,034.89 = 23,854.98/x
  3. Step 3: Cross multiply
    80,019.18x = 120,034.89 × 23,854.98
  4. Step 4: Simplify right side
    80,019.18x = 2,863,429,900.25
  5. Step 5: Solve for x
    x = 2,863,429,900.25/80,019.18
  6. Step 6: Final answer
    x = 35,784.29

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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.