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Finding the Fourth Proportional to 84,802, 127,261.32 and 29,398

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Solution

The fourth proportional to 84,802, 127,261.32 and 29,398 is: 44,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,802 : 127,261.32 = 29,398 : x
  2. Step 2: Convert to fraction form
    84,802/127,261.32 = 29,398/x
  3. Step 3: Cross multiply
    84,802x = 127,261.32 × 29,398
  4. Step 4: Simplify right side
    84,802x = 3,741,228,285.36
  5. Step 5: Solve for x
    x = 3,741,228,285.36/84,802
  6. Step 6: Final answer
    x = 44,117.22

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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.