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Finding the Fourth Proportional to 26,502.48, 39,759.48 and 8,034

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Solution

The fourth proportional to 26,502.48, 39,759.48 and 8,034 is: 12,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.48 : 39,759.48 = 8,034 : x
  2. Step 2: Convert to fraction form
    26,502.48/39,759.48 = 8,034/x
  3. Step 3: Cross multiply
    26,502.48x = 39,759.48 × 8,034
  4. Step 4: Simplify right side
    26,502.48x = 319,427,662.32
  5. Step 5: Solve for x
    x = 319,427,662.32/26,502.48
  6. Step 6: Final answer
    x = 12,052.75

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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.