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Finding the Fourth Proportional to 41,242.83, 61,776.69 and 27,924

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Solution

The fourth proportional to 41,242.83, 61,776.69 and 27,924 is: 41,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,242.83 : 61,776.69 = 27,924 : x
  2. Step 2: Convert to fraction form
    41,242.83/61,776.69 = 27,924/x
  3. Step 3: Cross multiply
    41,242.83x = 61,776.69 × 27,924
  4. Step 4: Simplify right side
    41,242.83x = 1,725,052,291.56
  5. Step 5: Solve for x
    x = 1,725,052,291.56/41,242.83
  6. Step 6: Final answer
    x = 41,826.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.