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Finding the Fourth Proportional to 83,767.84, 125,724.66 and 44,353.24

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Solution

The fourth proportional to 83,767.84, 125,724.66 and 44,353.24 is: 66,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,767.84 : 125,724.66 = 44,353.24 : x
  2. Step 2: Convert to fraction form
    83,767.84/125,724.66 = 44,353.24/x
  3. Step 3: Cross multiply
    83,767.84x = 125,724.66 × 44,353.24
  4. Step 4: Simplify right side
    83,767.84x = 5,576,296,018.90
  5. Step 5: Solve for x
    x = 5,576,296,018.90/83,767.84
  6. Step 6: Final answer
    x = 66,568.46

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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.