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Finding the Fourth Proportional to 117,524, 176,286 and 29,972

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Solution

The fourth proportional to 117,524, 176,286 and 29,972 is: 44,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,524 : 176,286 = 29,972 : x
  2. Step 2: Convert to fraction form
    117,524/176,286 = 29,972/x
  3. Step 3: Cross multiply
    117,524x = 176,286 × 29,972
  4. Step 4: Simplify right side
    117,524x = 5,283,643,992
  5. Step 5: Solve for x
    x = 5,283,643,992/117,524
  6. Step 6: Final answer
    x = 44,958

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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.