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Finding the Fourth Proportional to 38,626.96, 53,305.96 and 25,206.80

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Solution

The fourth proportional to 38,626.96, 53,305.96 and 25,206.80 is: 34,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,626.96 : 53,305.96 = 25,206.80 : x
  2. Step 2: Convert to fraction form
    38,626.96/53,305.96 = 25,206.80/x
  3. Step 3: Cross multiply
    38,626.96x = 53,305.96 × 25,206.80
  4. Step 4: Simplify right side
    38,626.96x = 1,343,672,672.53
  5. Step 5: Solve for x
    x = 1,343,672,672.53/38,626.96
  6. Step 6: Final answer
    x = 34,785.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.