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Finding the Fourth Proportional to 36,115.29, 54,177.54 and 13,935

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Solution

The fourth proportional to 36,115.29, 54,177.54 and 13,935 is: 20,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.29 : 54,177.54 = 13,935 : x
  2. Step 2: Convert to fraction form
    36,115.29/54,177.54 = 13,935/x
  3. Step 3: Cross multiply
    36,115.29x = 54,177.54 × 13,935
  4. Step 4: Simplify right side
    36,115.29x = 754,964,019.90
  5. Step 5: Solve for x
    x = 754,964,019.90/36,115.29
  6. Step 6: Final answer
    x = 20,904.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.