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Finding the Fourth Proportional to 71,330.40, 106,966.80 and 24,559.20

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Solution

The fourth proportional to 71,330.40, 106,966.80 and 24,559.20 is: 36,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,330.40 : 106,966.80 = 24,559.20 : x
  2. Step 2: Convert to fraction form
    71,330.40/106,966.80 = 24,559.20/x
  3. Step 3: Cross multiply
    71,330.40x = 106,966.80 × 24,559.20
  4. Step 4: Simplify right side
    71,330.40x = 2,627,019,034.56
  5. Step 5: Solve for x
    x = 2,627,019,034.56/71,330.40
  6. Step 6: Final answer
    x = 36,828.88

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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.