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Finding the Fourth Proportional to 40,016, 55,222.08 and 22,352

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Solution

The fourth proportional to 40,016, 55,222.08 and 22,352 is: 30,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,016 : 55,222.08 = 22,352 : x
  2. Step 2: Convert to fraction form
    40,016/55,222.08 = 22,352/x
  3. Step 3: Cross multiply
    40,016x = 55,222.08 × 22,352
  4. Step 4: Simplify right side
    40,016x = 1,234,323,932.16
  5. Step 5: Solve for x
    x = 1,234,323,932.16/40,016
  6. Step 6: Final answer
    x = 30,845.76

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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.