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Finding the Fourth Proportional to 101,010.50, 151,537.62 and 38,681

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Solution

The fourth proportional to 101,010.50, 151,537.62 and 38,681 is: 58,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,010.50 : 151,537.62 = 38,681 : x
  2. Step 2: Convert to fraction form
    101,010.50/151,537.62 = 38,681/x
  3. Step 3: Cross multiply
    101,010.50x = 151,537.62 × 38,681
  4. Step 4: Simplify right side
    101,010.50x = 5,861,626,679.22
  5. Step 5: Solve for x
    x = 5,861,626,679.22/101,010.50
  6. Step 6: Final answer
    x = 58,029.87

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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.