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Finding the Fourth Proportional to 119,344, 179,016.64 and 31,792

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Solution

The fourth proportional to 119,344, 179,016.64 and 31,792 is: 47,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,344 : 179,016.64 = 31,792 : x
  2. Step 2: Convert to fraction form
    119,344/179,016.64 = 31,792/x
  3. Step 3: Cross multiply
    119,344x = 179,016.64 × 31,792
  4. Step 4: Simplify right side
    119,344x = 5,691,297,018.88
  5. Step 5: Solve for x
    x = 5,691,297,018.88/119,344
  6. Step 6: Final answer
    x = 47,688.17

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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.