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Finding the Fourth Proportional to 48,995.44, 67,601.88 and 31,084

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Solution

The fourth proportional to 48,995.44, 67,601.88 and 31,084 is: 42,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,995.44 : 67,601.88 = 31,084 : x
  2. Step 2: Convert to fraction form
    48,995.44/67,601.88 = 31,084/x
  3. Step 3: Cross multiply
    48,995.44x = 67,601.88 × 31,084
  4. Step 4: Simplify right side
    48,995.44x = 2,101,336,837.92
  5. Step 5: Solve for x
    x = 2,101,336,837.92/48,995.44
  6. Step 6: Final answer
    x = 42,888.42

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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.