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Finding the Fourth Proportional to 40,734.68, 56,217.48 and 23,738

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Solution

The fourth proportional to 40,734.68, 56,217.48 and 23,738 is: 32,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,734.68 : 56,217.48 = 23,738 : x
  2. Step 2: Convert to fraction form
    40,734.68/56,217.48 = 23,738/x
  3. Step 3: Cross multiply
    40,734.68x = 56,217.48 × 23,738
  4. Step 4: Simplify right side
    40,734.68x = 1,334,490,540.24
  5. Step 5: Solve for x
    x = 1,334,490,540.24/40,734.68
  6. Step 6: Final answer
    x = 32,760.55

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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.