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Finding the Fourth Proportional to 36,045, 49,741.56 and 20,129.68

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Solution

The fourth proportional to 36,045, 49,741.56 and 20,129.68 is: 27,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 49,741.56 = 20,129.68 : x
  2. Step 2: Convert to fraction form
    36,045/49,741.56 = 20,129.68/x
  3. Step 3: Cross multiply
    36,045x = 49,741.56 × 20,129.68
  4. Step 4: Simplify right side
    36,045x = 1,001,281,685.50
  5. Step 5: Solve for x
    x = 1,001,281,685.50/36,045
  6. Step 6: Final answer
    x = 27,778.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.