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Finding the Fourth Proportional to 34,309, 47,352.90 and 20,169.64

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Solution

The fourth proportional to 34,309, 47,352.90 and 20,169.64 is: 27,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309 : 47,352.90 = 20,169.64 : x
  2. Step 2: Convert to fraction form
    34,309/47,352.90 = 20,169.64/x
  3. Step 3: Cross multiply
    34,309x = 47,352.90 × 20,169.64
  4. Step 4: Simplify right side
    34,309x = 955,090,945.96
  5. Step 5: Solve for x
    x = 955,090,945.96/34,309
  6. Step 6: Final answer
    x = 27,837.91

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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.