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Finding the Fourth Proportional to 61,227.96, 91,830 and 16,843.32

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Solution

The fourth proportional to 61,227.96, 91,830 and 16,843.32 is: 25,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,227.96 : 91,830 = 16,843.32 : x
  2. Step 2: Convert to fraction form
    61,227.96/91,830 = 16,843.32/x
  3. Step 3: Cross multiply
    61,227.96x = 91,830 × 16,843.32
  4. Step 4: Simplify right side
    61,227.96x = 1,546,722,075.60
  5. Step 5: Solve for x
    x = 1,546,722,075.60/61,227.96
  6. Step 6: Final answer
    x = 25,261.70

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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.