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Finding the Fourth Proportional to 83,103.16, 124,617.84 and 23,925

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Solution

The fourth proportional to 83,103.16, 124,617.84 and 23,925 is: 35,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,103.16 : 124,617.84 = 23,925 : x
  2. Step 2: Convert to fraction form
    83,103.16/124,617.84 = 23,925/x
  3. Step 3: Cross multiply
    83,103.16x = 124,617.84 × 23,925
  4. Step 4: Simplify right side
    83,103.16x = 2,981,481,822
  5. Step 5: Solve for x
    x = 2,981,481,822/83,103.16
  6. Step 6: Final answer
    x = 35,876.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.