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Finding the Fourth Proportional to 70,672.83, 106,024.88 and 23,286

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Solution

The fourth proportional to 70,672.83, 106,024.88 and 23,286 is: 34,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,672.83 : 106,024.88 = 23,286 : x
  2. Step 2: Convert to fraction form
    70,672.83/106,024.88 = 23,286/x
  3. Step 3: Cross multiply
    70,672.83x = 106,024.88 × 23,286
  4. Step 4: Simplify right side
    70,672.83x = 2,468,895,355.68
  5. Step 5: Solve for x
    x = 2,468,895,355.68/70,672.83
  6. Step 6: Final answer
    x = 34,934.15

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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.