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Finding the Fourth Proportional to 101,494.37, 152,199.92 and 30,391.95

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Solution

The fourth proportional to 101,494.37, 152,199.92 and 30,391.95 is: 45,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,494.37 : 152,199.92 = 30,391.95 : x
  2. Step 2: Convert to fraction form
    101,494.37/152,199.92 = 30,391.95/x
  3. Step 3: Cross multiply
    101,494.37x = 152,199.92 × 30,391.95
  4. Step 4: Simplify right side
    101,494.37x = 4,625,652,206.68
  5. Step 5: Solve for x
    x = 4,625,652,206.68/101,494.37
  6. Step 6: Final answer
    x = 45,575.46

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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.