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Finding the Fourth Proportional to 84,948, 127,422 and 29,544

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Solution

The fourth proportional to 84,948, 127,422 and 29,544 is: 44,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,948 : 127,422 = 29,544 : x
  2. Step 2: Convert to fraction form
    84,948/127,422 = 29,544/x
  3. Step 3: Cross multiply
    84,948x = 127,422 × 29,544
  4. Step 4: Simplify right side
    84,948x = 3,764,555,568
  5. Step 5: Solve for x
    x = 3,764,555,568/84,948
  6. Step 6: Final answer
    x = 44,316

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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.