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Finding the Fourth Proportional to 34,507.73, 47,615.91 and 20,164.12

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Solution

The fourth proportional to 34,507.73, 47,615.91 and 20,164.12 is: 27,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.73 : 47,615.91 = 20,164.12 : x
  2. Step 2: Convert to fraction form
    34,507.73/47,615.91 = 20,164.12/x
  3. Step 3: Cross multiply
    34,507.73x = 47,615.91 × 20,164.12
  4. Step 4: Simplify right side
    34,507.73x = 960,132,923.15
  5. Step 5: Solve for x
    x = 960,132,923.15/34,507.73
  6. Step 6: Final answer
    x = 27,823.71

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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.