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Finding the Fourth Proportional to 31,757.67, 47,632.83 and 8,385.93

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Solution

The fourth proportional to 31,757.67, 47,632.83 and 8,385.93 is: 12,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.67 : 47,632.83 = 8,385.93 : x
  2. Step 2: Convert to fraction form
    31,757.67/47,632.83 = 8,385.93/x
  3. Step 3: Cross multiply
    31,757.67x = 47,632.83 × 8,385.93
  4. Step 4: Simplify right side
    31,757.67x = 399,445,578.08
  5. Step 5: Solve for x
    x = 399,445,578.08/31,757.67
  6. Step 6: Final answer
    x = 12,577.92

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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.