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Finding the Fourth Proportional to 34,281.14, 47,308.34 and 20,134.22

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Solution

The fourth proportional to 34,281.14, 47,308.34 and 20,134.22 is: 27,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,281.14 : 47,308.34 = 20,134.22 : x
  2. Step 2: Convert to fraction form
    34,281.14/47,308.34 = 20,134.22/x
  3. Step 3: Cross multiply
    34,281.14x = 47,308.34 × 20,134.22
  4. Step 4: Simplify right side
    34,281.14x = 952,516,424.72
  5. Step 5: Solve for x
    x = 952,516,424.72/34,281.14
  6. Step 6: Final answer
    x = 27,785.44

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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.