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Finding the Fourth Proportional to 83,380.96, 115,076.88 and 49,386.80

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Solution

The fourth proportional to 83,380.96, 115,076.88 and 49,386.80 is: 68,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,380.96 : 115,076.88 = 49,386.80 : x
  2. Step 2: Convert to fraction form
    83,380.96/115,076.88 = 49,386.80/x
  3. Step 3: Cross multiply
    83,380.96x = 115,076.88 × 49,386.80
  4. Step 4: Simplify right side
    83,380.96x = 5,683,278,857.18
  5. Step 5: Solve for x
    x = 5,683,278,857.18/83,380.96
  6. Step 6: Final answer
    x = 68,160.39

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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.