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Finding the Fourth Proportional to 71,046.31, 98,036.91 and 39,213.14

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Solution

The fourth proportional to 71,046.31, 98,036.91 and 39,213.14 is: 54,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,046.31 : 98,036.91 = 39,213.14 : x
  2. Step 2: Convert to fraction form
    71,046.31/98,036.91 = 39,213.14/x
  3. Step 3: Cross multiply
    71,046.31x = 98,036.91 × 39,213.14
  4. Step 4: Simplify right side
    71,046.31x = 3,844,335,077.00
  5. Step 5: Solve for x
    x = 3,844,335,077.00/71,046.31
  6. Step 6: Final answer
    x = 54,110.27

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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.