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Finding the Fourth Proportional to 83,957.85, 125,938.94 and 27,797.85

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Solution

The fourth proportional to 83,957.85, 125,938.94 and 27,797.85 is: 41,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.85 : 125,938.94 = 27,797.85 : x
  2. Step 2: Convert to fraction form
    83,957.85/125,938.94 = 27,797.85/x
  3. Step 3: Cross multiply
    83,957.85x = 125,938.94 × 27,797.85
  4. Step 4: Simplify right side
    83,957.85x = 3,500,831,624.29
  5. Step 5: Solve for x
    x = 3,500,831,624.29/83,957.85
  6. Step 6: Final answer
    x = 41,697.49

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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.