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Finding the Fourth Proportional to 31,877.80, 47,730.30 and 24,965.80

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Solution

The fourth proportional to 31,877.80, 47,730.30 and 24,965.80 is: 37,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.80 : 47,730.30 = 24,965.80 : x
  2. Step 2: Convert to fraction form
    31,877.80/47,730.30 = 24,965.80/x
  3. Step 3: Cross multiply
    31,877.80x = 47,730.30 × 24,965.80
  4. Step 4: Simplify right side
    31,877.80x = 1,191,625,123.74
  5. Step 5: Solve for x
    x = 1,191,625,123.74/31,877.80
  6. Step 6: Final answer
    x = 37,381.03

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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.