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Finding the Fourth Proportional to 83,766.50, 115,598.03 and 47,956.79

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Solution

The fourth proportional to 83,766.50, 115,598.03 and 47,956.79 is: 66,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766.50 : 115,598.03 = 47,956.79 : x
  2. Step 2: Convert to fraction form
    83,766.50/115,598.03 = 47,956.79/x
  3. Step 3: Cross multiply
    83,766.50x = 115,598.03 × 47,956.79
  4. Step 4: Simplify right side
    83,766.50x = 5,543,709,991.03
  5. Step 5: Solve for x
    x = 5,543,709,991.03/83,766.50
  6. Step 6: Final answer
    x = 66,180.51

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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.