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Finding the Fourth Proportional to 83,296.38, 114,948.66 and 45,055.95

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Solution

The fourth proportional to 83,296.38, 114,948.66 and 45,055.95 is: 62,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296.38 : 114,948.66 = 45,055.95 : x
  2. Step 2: Convert to fraction form
    83,296.38/114,948.66 = 45,055.95/x
  3. Step 3: Cross multiply
    83,296.38x = 114,948.66 × 45,055.95
  4. Step 4: Simplify right side
    83,296.38x = 5,179,121,077.53
  5. Step 5: Solve for x
    x = 5,179,121,077.53/83,296.38
  6. Step 6: Final answer
    x = 62,177.02

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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.