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Finding the Fourth Proportional to 34,401.52, 51,602.24 and 22,712

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Solution

The fourth proportional to 34,401.52, 51,602.24 and 22,712 is: 34,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401.52 : 51,602.24 = 22,712 : x
  2. Step 2: Convert to fraction form
    34,401.52/51,602.24 = 22,712/x
  3. Step 3: Cross multiply
    34,401.52x = 51,602.24 × 22,712
  4. Step 4: Simplify right side
    34,401.52x = 1,171,990,074.88
  5. Step 5: Solve for x
    x = 1,171,990,074.88/34,401.52
  6. Step 6: Final answer
    x = 34,067.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.