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Finding the Fourth Proportional to 61,744.16, 85,201.88 and 34,889

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Solution

The fourth proportional to 61,744.16, 85,201.88 and 34,889 is: 48,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,744.16 : 85,201.88 = 34,889 : x
  2. Step 2: Convert to fraction form
    61,744.16/85,201.88 = 34,889/x
  3. Step 3: Cross multiply
    61,744.16x = 85,201.88 × 34,889
  4. Step 4: Simplify right side
    61,744.16x = 2,972,608,391.32
  5. Step 5: Solve for x
    x = 2,972,608,391.32/61,744.16
  6. Step 6: Final answer
    x = 48,143.96

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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.