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Finding the Fourth Proportional to 31,188.38, 43,035.27 and 17,760.14

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Solution

The fourth proportional to 31,188.38, 43,035.27 and 17,760.14 is: 24,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,188.38 : 43,035.27 = 17,760.14 : x
  2. Step 2: Convert to fraction form
    31,188.38/43,035.27 = 17,760.14/x
  3. Step 3: Cross multiply
    31,188.38x = 43,035.27 × 17,760.14
  4. Step 4: Simplify right side
    31,188.38x = 764,312,420.14
  5. Step 5: Solve for x
    x = 764,312,420.14/31,188.38
  6. Step 6: Final answer
    x = 24,506.32

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Why These Related Problems?

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