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Finding the Fourth Proportional to 34,214, 47,209.56 and 22,865.24

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Solution

The fourth proportional to 34,214, 47,209.56 and 22,865.24 is: 31,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214 : 47,209.56 = 22,865.24 : x
  2. Step 2: Convert to fraction form
    34,214/47,209.56 = 22,865.24/x
  3. Step 3: Cross multiply
    34,214x = 47,209.56 × 22,865.24
  4. Step 4: Simplify right side
    34,214x = 1,079,457,919.69
  5. Step 5: Solve for x
    x = 1,079,457,919.69/34,214
  6. Step 6: Final answer
    x = 31,550.18

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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.