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Finding the Fourth Proportional to 38,494.80, 57,742.20 and 26,053.20

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Solution

The fourth proportional to 38,494.80, 57,742.20 and 26,053.20 is: 39,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.80 : 57,742.20 = 26,053.20 : x
  2. Step 2: Convert to fraction form
    38,494.80/57,742.20 = 26,053.20/x
  3. Step 3: Cross multiply
    38,494.80x = 57,742.20 × 26,053.20
  4. Step 4: Simplify right side
    38,494.80x = 1,504,369,085.04
  5. Step 5: Solve for x
    x = 1,504,369,085.04/38,494.80
  6. Step 6: Final answer
    x = 39,079.80

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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.