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Finding the Fourth Proportional to 49,152.96, 73,687.68 and 22,872.96

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Solution

The fourth proportional to 49,152.96, 73,687.68 and 22,872.96 is: 34,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.96 : 73,687.68 = 22,872.96 : x
  2. Step 2: Convert to fraction form
    49,152.96/73,687.68 = 22,872.96/x
  3. Step 3: Cross multiply
    49,152.96x = 73,687.68 × 22,872.96
  4. Step 4: Simplify right side
    49,152.96x = 1,685,455,357.13
  5. Step 5: Solve for x
    x = 1,685,455,357.13/49,152.96
  6. Step 6: Final answer
    x = 34,290.01

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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.