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Finding the Fourth Proportional to 83,132, 114,722.78 and 45,406.25

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Solution

The fourth proportional to 83,132, 114,722.78 and 45,406.25 is: 62,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132 : 114,722.78 = 45,406.25 : x
  2. Step 2: Convert to fraction form
    83,132/114,722.78 = 45,406.25/x
  3. Step 3: Cross multiply
    83,132x = 114,722.78 × 45,406.25
  4. Step 4: Simplify right side
    83,132x = 5,209,131,229.38
  5. Step 5: Solve for x
    x = 5,209,131,229.38/83,132
  6. Step 6: Final answer
    x = 62,660.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.