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Finding the Fourth Proportional to 31,407.42, 43,342.11 and 17,260.86

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Solution

The fourth proportional to 31,407.42, 43,342.11 and 17,260.86 is: 23,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.42 : 43,342.11 = 17,260.86 : x
  2. Step 2: Convert to fraction form
    31,407.42/43,342.11 = 17,260.86/x
  3. Step 3: Cross multiply
    31,407.42x = 43,342.11 × 17,260.86
  4. Step 4: Simplify right side
    31,407.42x = 748,122,092.81
  5. Step 5: Solve for x
    x = 748,122,092.81/31,407.42
  6. Step 6: Final answer
    x = 23,819.92

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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.