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Finding the Fourth Proportional to 83,264.96, 124,883.78 and 35,867.21

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Solution

The fourth proportional to 83,264.96, 124,883.78 and 35,867.21 is: 53,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.96 : 124,883.78 = 35,867.21 : x
  2. Step 2: Convert to fraction form
    83,264.96/124,883.78 = 35,867.21/x
  3. Step 3: Cross multiply
    83,264.96x = 124,883.78 × 35,867.21
  4. Step 4: Simplify right side
    83,264.96x = 4,479,231,959.10
  5. Step 5: Solve for x
    x = 4,479,231,959.10/83,264.96
  6. Step 6: Final answer
    x = 53,794.92

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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.