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Finding the Fourth Proportional to 83,218.26, 114,839.02 and 49,228.50

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Solution

The fourth proportional to 83,218.26, 114,839.02 and 49,228.50 is: 67,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.26 : 114,839.02 = 49,228.50 : x
  2. Step 2: Convert to fraction form
    83,218.26/114,839.02 = 49,228.50/x
  3. Step 3: Cross multiply
    83,218.26x = 114,839.02 × 49,228.50
  4. Step 4: Simplify right side
    83,218.26x = 5,653,352,696.07
  5. Step 5: Solve for x
    x = 5,653,352,696.07/83,218.26
  6. Step 6: Final answer
    x = 67,934.04

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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.