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Finding the Fourth Proportional to 31,750.32, 43,817.04 and 17,602.86

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Solution

The fourth proportional to 31,750.32, 43,817.04 and 17,602.86 is: 24,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.32 : 43,817.04 = 17,602.86 : x
  2. Step 2: Convert to fraction form
    31,750.32/43,817.04 = 17,602.86/x
  3. Step 3: Cross multiply
    31,750.32x = 43,817.04 × 17,602.86
  4. Step 4: Simplify right side
    31,750.32x = 771,305,220.73
  5. Step 5: Solve for x
    x = 771,305,220.73/31,750.32
  6. Step 6: Final answer
    x = 24,292.83

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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.