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Finding the Fourth Proportional to 40,729.40, 56,195.88 and 24,821

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Solution

The fourth proportional to 40,729.40, 56,195.88 and 24,821 is: 34,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,729.40 : 56,195.88 = 24,821 : x
  2. Step 2: Convert to fraction form
    40,729.40/56,195.88 = 24,821/x
  3. Step 3: Cross multiply
    40,729.40x = 56,195.88 × 24,821
  4. Step 4: Simplify right side
    40,729.40x = 1,394,837,937.48
  5. Step 5: Solve for x
    x = 1,394,837,937.48/40,729.40
  6. Step 6: Final answer
    x = 34,246.46

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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.