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Finding the Fourth Proportional to 38,645.87, 57,869.63 and 26,782.75

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Solution

The fourth proportional to 38,645.87, 57,869.63 and 26,782.75 is: 40,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645.87 : 57,869.63 = 26,782.75 : x
  2. Step 2: Convert to fraction form
    38,645.87/57,869.63 = 26,782.75/x
  3. Step 3: Cross multiply
    38,645.87x = 57,869.63 × 26,782.75
  4. Step 4: Simplify right side
    38,645.87x = 1,549,907,409.62
  5. Step 5: Solve for x
    x = 1,549,907,409.62/38,645.87
  6. Step 6: Final answer
    x = 40,105.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.