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Finding the Fourth Proportional to 101,002.68, 151,489.44 and 30,863.16

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Solution

The fourth proportional to 101,002.68, 151,489.44 and 30,863.16 is: 46,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,002.68 : 151,489.44 = 30,863.16 : x
  2. Step 2: Convert to fraction form
    101,002.68/151,489.44 = 30,863.16/x
  3. Step 3: Cross multiply
    101,002.68x = 151,489.44 × 30,863.16
  4. Step 4: Simplify right side
    101,002.68x = 4,675,442,825.03
  5. Step 5: Solve for x
    x = 4,675,442,825.03/101,002.68
  6. Step 6: Final answer
    x = 46,290.28

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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.