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Finding the Fourth Proportional to 31,860.54, 47,754.77 and 16,040.43

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Solution

The fourth proportional to 31,860.54, 47,754.77 and 16,040.43 is: 24,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.54 : 47,754.77 = 16,040.43 : x
  2. Step 2: Convert to fraction form
    31,860.54/47,754.77 = 16,040.43/x
  3. Step 3: Cross multiply
    31,860.54x = 47,754.77 × 16,040.43
  4. Step 4: Simplify right side
    31,860.54x = 766,006,965.15
  5. Step 5: Solve for x
    x = 766,006,965.15/31,860.54
  6. Step 6: Final answer
    x = 24,042.50

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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.