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Finding the Fourth Proportional to 31,903.39, 47,851.43 and 8,531.65

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Solution

The fourth proportional to 31,903.39, 47,851.43 and 8,531.65 is: 12,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.39 : 47,851.43 = 8,531.65 : x
  2. Step 2: Convert to fraction form
    31,903.39/47,851.43 = 8,531.65/x
  3. Step 3: Cross multiply
    31,903.39x = 47,851.43 × 8,531.65
  4. Step 4: Simplify right side
    31,903.39x = 408,251,413.50
  5. Step 5: Solve for x
    x = 408,251,413.50/31,903.39
  6. Step 6: Final answer
    x = 12,796.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.