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Finding the Fourth Proportional to 80,882.40, 121,294.80 and 36,530.40

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Solution

The fourth proportional to 80,882.40, 121,294.80 and 36,530.40 is: 54,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,882.40 : 121,294.80 = 36,530.40 : x
  2. Step 2: Convert to fraction form
    80,882.40/121,294.80 = 36,530.40/x
  3. Step 3: Cross multiply
    80,882.40x = 121,294.80 × 36,530.40
  4. Step 4: Simplify right side
    80,882.40x = 4,430,947,561.92
  5. Step 5: Solve for x
    x = 4,430,947,561.92/80,882.40
  6. Step 6: Final answer
    x = 54,782.59

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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.