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Finding the Fourth Proportional to 31,500.86, 47,271.07 and 12,780.97

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Solution

The fourth proportional to 31,500.86, 47,271.07 and 12,780.97 is: 19,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.86 : 47,271.07 = 12,780.97 : x
  2. Step 2: Convert to fraction form
    31,500.86/47,271.07 = 12,780.97/x
  3. Step 3: Cross multiply
    31,500.86x = 47,271.07 × 12,780.97
  4. Step 4: Simplify right side
    31,500.86x = 604,170,255.29
  5. Step 5: Solve for x
    x = 604,170,255.29/31,500.86
  6. Step 6: Final answer
    x = 19,179.49

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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.