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Finding the Fourth Proportional to 34,574.32, 47,699.97 and 20,229.64

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Solution

The fourth proportional to 34,574.32, 47,699.97 and 20,229.64 is: 27,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574.32 : 47,699.97 = 20,229.64 : x
  2. Step 2: Convert to fraction form
    34,574.32/47,699.97 = 20,229.64/x
  3. Step 3: Cross multiply
    34,574.32x = 47,699.97 × 20,229.64
  4. Step 4: Simplify right side
    34,574.32x = 964,953,221.11
  5. Step 5: Solve for x
    x = 964,953,221.11/34,574.32
  6. Step 6: Final answer
    x = 27,909.54

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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.