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Finding the Fourth Proportional to 83,764.92, 115,601.04 and 51,954.96

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Solution

The fourth proportional to 83,764.92, 115,601.04 and 51,954.96 is: 71,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.92 : 115,601.04 = 51,954.96 : x
  2. Step 2: Convert to fraction form
    83,764.92/115,601.04 = 51,954.96/x
  3. Step 3: Cross multiply
    83,764.92x = 115,601.04 × 51,954.96
  4. Step 4: Simplify right side
    83,764.92x = 6,006,047,409.16
  5. Step 5: Solve for x
    x = 6,006,047,409.16/83,764.92
  6. Step 6: Final answer
    x = 71,701.23

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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.