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Finding the Fourth Proportional to 100,062.52, 150,093.77 and 47,443.30

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Solution

The fourth proportional to 100,062.52, 150,093.77 and 47,443.30 is: 71,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062.52 : 150,093.77 = 47,443.30 : x
  2. Step 2: Convert to fraction form
    100,062.52/150,093.77 = 47,443.30/x
  3. Step 3: Cross multiply
    100,062.52x = 150,093.77 × 47,443.30
  4. Step 4: Simplify right side
    100,062.52x = 7,120,943,758.24
  5. Step 5: Solve for x
    x = 7,120,943,758.24/100,062.52
  6. Step 6: Final answer
    x = 71,164.95

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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.