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Finding the Fourth Proportional to 40,142.68, 60,191.90 and 13,825.72

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Solution

The fourth proportional to 40,142.68, 60,191.90 and 13,825.72 is: 20,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,142.68 : 60,191.90 = 13,825.72 : x
  2. Step 2: Convert to fraction form
    40,142.68/60,191.90 = 13,825.72/x
  3. Step 3: Cross multiply
    40,142.68x = 60,191.90 × 13,825.72
  4. Step 4: Simplify right side
    40,142.68x = 832,196,355.67
  5. Step 5: Solve for x
    x = 832,196,355.67/40,142.68
  6. Step 6: Final answer
    x = 20,730.96

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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.