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Finding the Fourth Proportional to 80,034.48, 120,057.81 and 23,870.20

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Solution

The fourth proportional to 80,034.48, 120,057.81 and 23,870.20 is: 35,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,034.48 : 120,057.81 = 23,870.20 : x
  2. Step 2: Convert to fraction form
    80,034.48/120,057.81 = 23,870.20/x
  3. Step 3: Cross multiply
    80,034.48x = 120,057.81 × 23,870.20
  4. Step 4: Simplify right side
    80,034.48x = 2,865,803,936.26
  5. Step 5: Solve for x
    x = 2,865,803,936.26/80,034.48
  6. Step 6: Final answer
    x = 35,807.12

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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.