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Finding the Fourth Proportional to 31,832.34, 47,727.63 and 17,793.86

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Solution

The fourth proportional to 31,832.34, 47,727.63 and 17,793.86 is: 26,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.34 : 47,727.63 = 17,793.86 : x
  2. Step 2: Convert to fraction form
    31,832.34/47,727.63 = 17,793.86/x
  3. Step 3: Cross multiply
    31,832.34x = 47,727.63 × 17,793.86
  4. Step 4: Simplify right side
    31,832.34x = 849,258,527.71
  5. Step 5: Solve for x
    x = 849,258,527.71/31,832.34
  6. Step 6: Final answer
    x = 26,679.11

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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.