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Finding the Fourth Proportional to 100,382.77, 138,532.17 and 55,062.37

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Solution

The fourth proportional to 100,382.77, 138,532.17 and 55,062.37 is: 75,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.77 : 138,532.17 = 55,062.37 : x
  2. Step 2: Convert to fraction form
    100,382.77/138,532.17 = 55,062.37/x
  3. Step 3: Cross multiply
    100,382.77x = 138,532.17 × 55,062.37
  4. Step 4: Simplify right side
    100,382.77x = 7,627,909,601.44
  5. Step 5: Solve for x
    x = 7,627,909,601.44/100,382.77
  6. Step 6: Final answer
    x = 75,988.24

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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.