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Finding the Fourth Proportional to 83,243.68, 114,876.51 and 53,022.53

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Solution

The fourth proportional to 83,243.68, 114,876.51 and 53,022.53 is: 73,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,243.68 : 114,876.51 = 53,022.53 : x
  2. Step 2: Convert to fraction form
    83,243.68/114,876.51 = 53,022.53/x
  3. Step 3: Cross multiply
    83,243.68x = 114,876.51 × 53,022.53
  4. Step 4: Simplify right side
    83,243.68x = 6,091,043,584.38
  5. Step 5: Solve for x
    x = 6,091,043,584.38/83,243.68
  6. Step 6: Final answer
    x = 73,171.24

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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.