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Finding the Fourth Proportional to 174,320.64, 261,480.96 and 49,662

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Solution

The fourth proportional to 174,320.64, 261,480.96 and 49,662 is: 74,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,320.64 : 261,480.96 = 49,662 : x
  2. Step 2: Convert to fraction form
    174,320.64/261,480.96 = 49,662/x
  3. Step 3: Cross multiply
    174,320.64x = 261,480.96 × 49,662
  4. Step 4: Simplify right side
    174,320.64x = 12,985,667,435.52
  5. Step 5: Solve for x
    x = 12,985,667,435.52/174,320.64
  6. Step 6: Final answer
    x = 74,493

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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.