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Finding the Fourth Proportional to 77,351.25, 116,046.32 and 21,947.25

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Solution

The fourth proportional to 77,351.25, 116,046.32 and 21,947.25 is: 32,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,351.25 : 116,046.32 = 21,947.25 : x
  2. Step 2: Convert to fraction form
    77,351.25/116,046.32 = 21,947.25/x
  3. Step 3: Cross multiply
    77,351.25x = 116,046.32 × 21,947.25
  4. Step 4: Simplify right side
    77,351.25x = 2,546,897,596.62
  5. Step 5: Solve for x
    x = 2,546,897,596.62/77,351.25
  6. Step 6: Final answer
    x = 32,926.39

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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.