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Finding the Fourth Proportional to 83,117.97, 114,827.90 and 54,505.53

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Solution

The fourth proportional to 83,117.97, 114,827.90 and 54,505.53 is: 75,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.97 : 114,827.90 = 54,505.53 : x
  2. Step 2: Convert to fraction form
    83,117.97/114,827.90 = 54,505.53/x
  3. Step 3: Cross multiply
    83,117.97x = 114,827.90 × 54,505.53
  4. Step 4: Simplify right side
    83,117.97x = 6,258,755,275.76
  5. Step 5: Solve for x
    x = 6,258,755,275.76/83,117.97
  6. Step 6: Final answer
    x = 75,299.66

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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.