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Finding the Fourth Proportional to 121,520.61, 182,268.09 and 32,768.64

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Solution

The fourth proportional to 121,520.61, 182,268.09 and 32,768.64 is: 49,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,520.61 : 182,268.09 = 32,768.64 : x
  2. Step 2: Convert to fraction form
    121,520.61/182,268.09 = 32,768.64/x
  3. Step 3: Cross multiply
    121,520.61x = 182,268.09 × 32,768.64
  4. Step 4: Simplify right side
    121,520.61x = 5,972,677,424.70
  5. Step 5: Solve for x
    x = 5,972,677,424.70/121,520.61
  6. Step 6: Final answer
    x = 49,149.50

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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.