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Finding the Fourth Proportional to 83,876.57, 115,749.66 and 45,636.13

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Solution

The fourth proportional to 83,876.57, 115,749.66 and 45,636.13 is: 62,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,876.57 : 115,749.66 = 45,636.13 : x
  2. Step 2: Convert to fraction form
    83,876.57/115,749.66 = 45,636.13/x
  3. Step 3: Cross multiply
    83,876.57x = 115,749.66 × 45,636.13
  4. Step 4: Simplify right side
    83,876.57x = 5,282,366,531.22
  5. Step 5: Solve for x
    x = 5,282,366,531.22/83,876.57
  6. Step 6: Final answer
    x = 62,977.86

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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.