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Finding the Fourth Proportional to 83,480.15, 115,220.01 and 76,755.12

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Solution

The fourth proportional to 83,480.15, 115,220.01 and 76,755.12 is: 105,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,480.15 : 115,220.01 = 76,755.12 : x
  2. Step 2: Convert to fraction form
    83,480.15/115,220.01 = 76,755.12/x
  3. Step 3: Cross multiply
    83,480.15x = 115,220.01 × 76,755.12
  4. Step 4: Simplify right side
    83,480.15x = 8,843,725,693.95
  5. Step 5: Solve for x
    x = 8,843,725,693.95/83,480.15
  6. Step 6: Final answer
    x = 105,938.07

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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.