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Finding the Fourth Proportional to 33,022.60, 49,566.30 and 16,401.40

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Solution

The fourth proportional to 33,022.60, 49,566.30 and 16,401.40 is: 24,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.60 : 49,566.30 = 16,401.40 : x
  2. Step 2: Convert to fraction form
    33,022.60/49,566.30 = 16,401.40/x
  3. Step 3: Cross multiply
    33,022.60x = 49,566.30 × 16,401.40
  4. Step 4: Simplify right side
    33,022.60x = 812,956,712.82
  5. Step 5: Solve for x
    x = 812,956,712.82/33,022.60
  6. Step 6: Final answer
    x = 24,618.19

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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.