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Finding the Fourth Proportional to 41,187.52, 61,744.74 and 20,116

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Solution

The fourth proportional to 41,187.52, 61,744.74 and 20,116 is: 30,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,187.52 : 61,744.74 = 20,116 : x
  2. Step 2: Convert to fraction form
    41,187.52/61,744.74 = 20,116/x
  3. Step 3: Cross multiply
    41,187.52x = 61,744.74 × 20,116
  4. Step 4: Simplify right side
    41,187.52x = 1,242,057,189.84
  5. Step 5: Solve for x
    x = 1,242,057,189.84/41,187.52
  6. Step 6: Final answer
    x = 30,156.15

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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.