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Finding the Fourth Proportional to 36,113.86, 54,189.67 and 14,782.40

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Solution

The fourth proportional to 36,113.86, 54,189.67 and 14,782.40 is: 22,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,113.86 : 54,189.67 = 14,782.40 : x
  2. Step 2: Convert to fraction form
    36,113.86/54,189.67 = 14,782.40/x
  3. Step 3: Cross multiply
    36,113.86x = 54,189.67 × 14,782.40
  4. Step 4: Simplify right side
    36,113.86x = 801,053,377.81
  5. Step 5: Solve for x
    x = 801,053,377.81/36,113.86
  6. Step 6: Final answer
    x = 22,181.33

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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.