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Finding the Fourth Proportional to 48,827.70, 73,227.15 and 19,235.70

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Solution

The fourth proportional to 48,827.70, 73,227.15 and 19,235.70 is: 28,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827.70 : 73,227.15 = 19,235.70 : x
  2. Step 2: Convert to fraction form
    48,827.70/73,227.15 = 19,235.70/x
  3. Step 3: Cross multiply
    48,827.70x = 73,227.15 × 19,235.70
  4. Step 4: Simplify right side
    48,827.70x = 1,408,575,489.26
  5. Step 5: Solve for x
    x = 1,408,575,489.26/48,827.70
  6. Step 6: Final answer
    x = 28,847.88

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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.