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Finding the Fourth Proportional to 174,408, 261,614.46 and 49,749

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Solution

The fourth proportional to 174,408, 261,614.46 and 49,749 is: 74,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,408 : 261,614.46 = 49,749 : x
  2. Step 2: Convert to fraction form
    174,408/261,614.46 = 49,749/x
  3. Step 3: Cross multiply
    174,408x = 261,614.46 × 49,749
  4. Step 4: Simplify right side
    174,408x = 13,015,057,770.54
  5. Step 5: Solve for x
    x = 13,015,057,770.54/174,408
  6. Step 6: Final answer
    x = 74,624.20

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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.