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Finding the Fourth Proportional to 34,378.50, 51,646.68 and 24,270.12

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Solution

The fourth proportional to 34,378.50, 51,646.68 and 24,270.12 is: 36,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.50 : 51,646.68 = 24,270.12 : x
  2. Step 2: Convert to fraction form
    34,378.50/51,646.68 = 24,270.12/x
  3. Step 3: Cross multiply
    34,378.50x = 51,646.68 × 24,270.12
  4. Step 4: Simplify right side
    34,378.50x = 1,253,471,121.20
  5. Step 5: Solve for x
    x = 1,253,471,121.20/34,378.50
  6. Step 6: Final answer
    x = 36,460.90

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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.