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Finding the Fourth Proportional to 82,909.92, 124,374 and 23,755.20

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Solution

The fourth proportional to 82,909.92, 124,374 and 23,755.20 is: 35,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,909.92 : 124,374 = 23,755.20 : x
  2. Step 2: Convert to fraction form
    82,909.92/124,374 = 23,755.20/x
  3. Step 3: Cross multiply
    82,909.92x = 124,374 × 23,755.20
  4. Step 4: Simplify right side
    82,909.92x = 2,954,529,244.80
  5. Step 5: Solve for x
    x = 2,954,529,244.80/82,909.92
  6. Step 6: Final answer
    x = 35,635.41

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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.