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Finding the Fourth Proportional to 83,099.97, 114,677.51 and 45,373.95

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Solution

The fourth proportional to 83,099.97, 114,677.51 and 45,373.95 is: 62,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,099.97 : 114,677.51 = 45,373.95 : x
  2. Step 2: Convert to fraction form
    83,099.97/114,677.51 = 45,373.95/x
  3. Step 3: Cross multiply
    83,099.97x = 114,677.51 × 45,373.95
  4. Step 4: Simplify right side
    83,099.97x = 5,203,371,377.99
  5. Step 5: Solve for x
    x = 5,203,371,377.99/83,099.97
  6. Step 6: Final answer
    x = 62,615.80

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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.