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Finding the Fourth Proportional to 40,782.87, 56,279.43 and 22,877.46

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Solution

The fourth proportional to 40,782.87, 56,279.43 and 22,877.46 is: 31,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782.87 : 56,279.43 = 22,877.46 : x
  2. Step 2: Convert to fraction form
    40,782.87/56,279.43 = 22,877.46/x
  3. Step 3: Cross multiply
    40,782.87x = 56,279.43 × 22,877.46
  4. Step 4: Simplify right side
    40,782.87x = 1,287,530,408.65
  5. Step 5: Solve for x
    x = 1,287,530,408.65/40,782.87
  6. Step 6: Final answer
    x = 31,570.37

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