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Finding the Fourth Proportional to 83,101.92, 114,679.04 and 45,376.48

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Solution

The fourth proportional to 83,101.92, 114,679.04 and 45,376.48 is: 62,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.92 : 114,679.04 = 45,376.48 : x
  2. Step 2: Convert to fraction form
    83,101.92/114,679.04 = 45,376.48/x
  3. Step 3: Cross multiply
    83,101.92x = 114,679.04 × 45,376.48
  4. Step 4: Simplify right side
    83,101.92x = 5,203,731,164.98
  5. Step 5: Solve for x
    x = 5,203,731,164.98/83,101.92
  6. Step 6: Final answer
    x = 62,618.66

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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.