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Finding the Fourth Proportional to 38,149.96, 52,624.02 and 27,563.08

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Solution

The fourth proportional to 38,149.96, 52,624.02 and 27,563.08 is: 38,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.96 : 52,624.02 = 27,563.08 : x
  2. Step 2: Convert to fraction form
    38,149.96/52,624.02 = 27,563.08/x
  3. Step 3: Cross multiply
    38,149.96x = 52,624.02 × 27,563.08
  4. Step 4: Simplify right side
    38,149.96x = 1,450,480,073.18
  5. Step 5: Solve for x
    x = 1,450,480,073.18/38,149.96
  6. Step 6: Final answer
    x = 38,020.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.