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Finding the Fourth Proportional to 38,643.60, 57,965.40 and 26,833.80

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Solution

The fourth proportional to 38,643.60, 57,965.40 and 26,833.80 is: 40,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.60 : 57,965.40 = 26,833.80 : x
  2. Step 2: Convert to fraction form
    38,643.60/57,965.40 = 26,833.80/x
  3. Step 3: Cross multiply
    38,643.60x = 57,965.40 × 26,833.80
  4. Step 4: Simplify right side
    38,643.60x = 1,555,431,950.52
  5. Step 5: Solve for x
    x = 1,555,431,950.52/38,643.60
  6. Step 6: Final answer
    x = 40,250.70

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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.