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Finding the Fourth Proportional to 41,114.67, 61,679.79 and 13,041.80

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Solution

The fourth proportional to 41,114.67, 61,679.79 and 13,041.80 is: 19,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114.67 : 61,679.79 = 13,041.80 : x
  2. Step 2: Convert to fraction form
    41,114.67/61,679.79 = 13,041.80/x
  3. Step 3: Cross multiply
    41,114.67x = 61,679.79 × 13,041.80
  4. Step 4: Simplify right side
    41,114.67x = 804,415,197.97
  5. Step 5: Solve for x
    x = 804,415,197.97/41,114.67
  6. Step 6: Final answer
    x = 19,565.16

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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.