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Finding the Fourth Proportional to 101,311.26, 151,969.96 and 34,750.42

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Solution

The fourth proportional to 101,311.26, 151,969.96 and 34,750.42 is: 52,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,311.26 : 151,969.96 = 34,750.42 : x
  2. Step 2: Convert to fraction form
    101,311.26/151,969.96 = 34,750.42/x
  3. Step 3: Cross multiply
    101,311.26x = 151,969.96 × 34,750.42
  4. Step 4: Simplify right side
    101,311.26x = 5,281,020,513.71
  5. Step 5: Solve for x
    x = 5,281,020,513.71/101,311.26
  6. Step 6: Final answer
    x = 52,126.69

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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.