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Finding the Fourth Proportional to 36,261.66, 54,394.38 and 9,965.82

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Solution

The fourth proportional to 36,261.66, 54,394.38 and 9,965.82 is: 14,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,261.66 : 54,394.38 = 9,965.82 : x
  2. Step 2: Convert to fraction form
    36,261.66/54,394.38 = 9,965.82/x
  3. Step 3: Cross multiply
    36,261.66x = 54,394.38 × 9,965.82
  4. Step 4: Simplify right side
    36,261.66x = 542,084,600.09
  5. Step 5: Solve for x
    x = 542,084,600.09/36,261.66
  6. Step 6: Final answer
    x = 14,949.25

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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.