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Finding the Fourth Proportional to 26,650, 39,971.81 and 20,732.79

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Solution

The fourth proportional to 26,650, 39,971.81 and 20,732.79 is: 31,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,650 : 39,971.81 = 20,732.79 : x
  2. Step 2: Convert to fraction form
    26,650/39,971.81 = 20,732.79/x
  3. Step 3: Cross multiply
    26,650x = 39,971.81 × 20,732.79
  4. Step 4: Simplify right side
    26,650x = 828,727,142.65
  5. Step 5: Solve for x
    x = 828,727,142.65/26,650
  6. Step 6: Final answer
    x = 31,096.70

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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.