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Finding the Fourth Proportional to 31,903.80, 47,769.30 and 24,991.80

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Solution

The fourth proportional to 31,903.80, 47,769.30 and 24,991.80 is: 37,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.80 : 47,769.30 = 24,991.80 : x
  2. Step 2: Convert to fraction form
    31,903.80/47,769.30 = 24,991.80/x
  3. Step 3: Cross multiply
    31,903.80x = 47,769.30 × 24,991.80
  4. Step 4: Simplify right side
    31,903.80x = 1,193,840,791.74
  5. Step 5: Solve for x
    x = 1,193,840,791.74/31,903.80
  6. Step 6: Final answer
    x = 37,420.02

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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.