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Finding the Fourth Proportional to 131,335, 197,002.52 and 32,839

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Solution

The fourth proportional to 131,335, 197,002.52 and 32,839 is: 49,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,335 : 197,002.52 = 32,839 : x
  2. Step 2: Convert to fraction form
    131,335/197,002.52 = 32,839/x
  3. Step 3: Cross multiply
    131,335x = 197,002.52 × 32,839
  4. Step 4: Simplify right side
    131,335x = 6,469,365,754.28
  5. Step 5: Solve for x
    x = 6,469,365,754.28/131,335
  6. Step 6: Final answer
    x = 49,258.51

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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.