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Finding the Fourth Proportional to 36,781.72, 55,139.14 and 13,402.84

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Solution

The fourth proportional to 36,781.72, 55,139.14 and 13,402.84 is: 20,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,781.72 : 55,139.14 = 13,402.84 : x
  2. Step 2: Convert to fraction form
    36,781.72/55,139.14 = 13,402.84/x
  3. Step 3: Cross multiply
    36,781.72x = 55,139.14 × 13,402.84
  4. Step 4: Simplify right side
    36,781.72x = 739,021,071.16
  5. Step 5: Solve for x
    x = 739,021,071.16/36,781.72
  6. Step 6: Final answer
    x = 20,092.07

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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.