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Finding the Fourth Proportional to 40,223.20, 55,511.36 and 22,324

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Solution

The fourth proportional to 40,223.20, 55,511.36 and 22,324 is: 30,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,223.20 : 55,511.36 = 22,324 : x
  2. Step 2: Convert to fraction form
    40,223.20/55,511.36 = 22,324/x
  3. Step 3: Cross multiply
    40,223.20x = 55,511.36 × 22,324
  4. Step 4: Simplify right side
    40,223.20x = 1,239,235,600.64
  5. Step 5: Solve for x
    x = 1,239,235,600.64/40,223.20
  6. Step 6: Final answer
    x = 30,808.98

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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.