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Finding the Fourth Proportional to 31,565.42, 47,348.04 and 18,408.56

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Solution

The fourth proportional to 31,565.42, 47,348.04 and 18,408.56 is: 27,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.42 : 47,348.04 = 18,408.56 : x
  2. Step 2: Convert to fraction form
    31,565.42/47,348.04 = 18,408.56/x
  3. Step 3: Cross multiply
    31,565.42x = 47,348.04 × 18,408.56
  4. Step 4: Simplify right side
    31,565.42x = 871,609,235.22
  5. Step 5: Solve for x
    x = 871,609,235.22/31,565.42
  6. Step 6: Final answer
    x = 27,612.79

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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.