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Finding the Fourth Proportional to 101,159.44, 151,758.69 and 38,825.08

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Solution

The fourth proportional to 101,159.44, 151,758.69 and 38,825.08 is: 58,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,159.44 : 151,758.69 = 38,825.08 : x
  2. Step 2: Convert to fraction form
    101,159.44/151,758.69 = 38,825.08/x
  3. Step 3: Cross multiply
    101,159.44x = 151,758.69 × 38,825.08
  4. Step 4: Simplify right side
    101,159.44x = 5,892,043,279.95
  5. Step 5: Solve for x
    x = 5,892,043,279.95/101,159.44
  6. Step 6: Final answer
    x = 58,245.12

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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.