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Finding the Fourth Proportional to 33,413, 46,097.22 and 22,087.88

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Solution

The fourth proportional to 33,413, 46,097.22 and 22,087.88 is: 30,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413 : 46,097.22 = 22,087.88 : x
  2. Step 2: Convert to fraction form
    33,413/46,097.22 = 22,087.88/x
  3. Step 3: Cross multiply
    33,413x = 46,097.22 × 22,087.88
  4. Step 4: Simplify right side
    33,413x = 1,018,189,863.69
  5. Step 5: Solve for x
    x = 1,018,189,863.69/33,413
  6. Step 6: Final answer
    x = 30,472.87

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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.