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Finding the Fourth Proportional to 83,100.97, 114,678.88 and 45,374.95

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Solution

The fourth proportional to 83,100.97, 114,678.88 and 45,374.95 is: 62,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,100.97 : 114,678.88 = 45,374.95 : x
  2. Step 2: Convert to fraction form
    83,100.97/114,678.88 = 45,374.95/x
  3. Step 3: Cross multiply
    83,100.97x = 114,678.88 × 45,374.95
  4. Step 4: Simplify right side
    83,100.97x = 5,203,548,446.06
  5. Step 5: Solve for x
    x = 5,203,548,446.06/83,100.97
  6. Step 6: Final answer
    x = 62,617.18

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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.