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Finding the Fourth Proportional to 83,225.26, 124,849.73 and 27,047.30

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Solution

The fourth proportional to 83,225.26, 124,849.73 and 27,047.30 is: 40,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,225.26 : 124,849.73 = 27,047.30 : x
  2. Step 2: Convert to fraction form
    83,225.26/124,849.73 = 27,047.30/x
  3. Step 3: Cross multiply
    83,225.26x = 124,849.73 × 27,047.30
  4. Step 4: Simplify right side
    83,225.26x = 3,376,848,481.97
  5. Step 5: Solve for x
    x = 3,376,848,481.97/83,225.26
  6. Step 6: Final answer
    x = 40,574.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.