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Finding the Fourth Proportional to 34,697.25, 47,882.25 and 22,129.29

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Solution

The fourth proportional to 34,697.25, 47,882.25 and 22,129.29 is: 30,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.25 : 47,882.25 = 22,129.29 : x
  2. Step 2: Convert to fraction form
    34,697.25/47,882.25 = 22,129.29/x
  3. Step 3: Cross multiply
    34,697.25x = 47,882.25 × 22,129.29
  4. Step 4: Simplify right side
    34,697.25x = 1,059,600,196.10
  5. Step 5: Solve for x
    x = 1,059,600,196.10/34,697.25
  6. Step 6: Final answer
    x = 30,538.45

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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.