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Finding the Fourth Proportional to 41,162.72, 61,731.20 and 14,864

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Solution

The fourth proportional to 41,162.72, 61,731.20 and 14,864 is: 22,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,162.72 : 61,731.20 = 14,864 : x
  2. Step 2: Convert to fraction form
    41,162.72/61,731.20 = 14,864/x
  3. Step 3: Cross multiply
    41,162.72x = 61,731.20 × 14,864
  4. Step 4: Simplify right side
    41,162.72x = 917,572,556.80
  5. Step 5: Solve for x
    x = 917,572,556.80/41,162.72
  6. Step 6: Final answer
    x = 22,291.35

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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.