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Finding the Fourth Proportional to 61,342.50, 84,642.08 and 34,481.28

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Solution

The fourth proportional to 61,342.50, 84,642.08 and 34,481.28 is: 47,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342.50 : 84,642.08 = 34,481.28 : x
  2. Step 2: Convert to fraction form
    61,342.50/84,642.08 = 34,481.28/x
  3. Step 3: Cross multiply
    61,342.50x = 84,642.08 × 34,481.28
  4. Step 4: Simplify right side
    61,342.50x = 2,918,567,260.26
  5. Step 5: Solve for x
    x = 2,918,567,260.26/61,342.50
  6. Step 6: Final answer
    x = 47,578.22

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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.