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Finding the Fourth Proportional to 40,771.86, 56,264.49 and 23,785.98

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Solution

The fourth proportional to 40,771.86, 56,264.49 and 23,785.98 is: 32,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.86 : 56,264.49 = 23,785.98 : x
  2. Step 2: Convert to fraction form
    40,771.86/56,264.49 = 23,785.98/x
  3. Step 3: Cross multiply
    40,771.86x = 56,264.49 × 23,785.98
  4. Step 4: Simplify right side
    40,771.86x = 1,338,306,033.85
  5. Step 5: Solve for x
    x = 1,338,306,033.85/40,771.86
  6. Step 6: Final answer
    x = 32,824.26

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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.