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Finding the Fourth Proportional to 48,173.84, 72,221.84 and 18,576.48

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Solution

The fourth proportional to 48,173.84, 72,221.84 and 18,576.48 is: 27,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,173.84 : 72,221.84 = 18,576.48 : x
  2. Step 2: Convert to fraction form
    48,173.84/72,221.84 = 18,576.48/x
  3. Step 3: Cross multiply
    48,173.84x = 72,221.84 × 18,576.48
  4. Step 4: Simplify right side
    48,173.84x = 1,341,627,566.32
  5. Step 5: Solve for x
    x = 1,341,627,566.32/48,173.84
  6. Step 6: Final answer
    x = 27,849.71

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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.