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Finding the Fourth Proportional to 48,170.80, 72,227.40 and 24,842.80

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Solution

The fourth proportional to 48,170.80, 72,227.40 and 24,842.80 is: 37,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,170.80 : 72,227.40 = 24,842.80 : x
  2. Step 2: Convert to fraction form
    48,170.80/72,227.40 = 24,842.80/x
  3. Step 3: Cross multiply
    48,170.80x = 72,227.40 × 24,842.80
  4. Step 4: Simplify right side
    48,170.80x = 1,794,330,852.72
  5. Step 5: Solve for x
    x = 1,794,330,852.72/48,170.80
  6. Step 6: Final answer
    x = 37,249.35

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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.