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Finding the Fourth Proportional to 69,182.98, 103,816.47 and 27,626.50

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Solution

The fourth proportional to 69,182.98, 103,816.47 and 27,626.50 is: 41,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,182.98 : 103,816.47 = 27,626.50 : x
  2. Step 2: Convert to fraction form
    69,182.98/103,816.47 = 27,626.50/x
  3. Step 3: Cross multiply
    69,182.98x = 103,816.47 × 27,626.50
  4. Step 4: Simplify right side
    69,182.98x = 2,868,085,708.46
  5. Step 5: Solve for x
    x = 2,868,085,708.46/69,182.98
  6. Step 6: Final answer
    x = 41,456.52

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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.