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Finding the Fourth Proportional to 49,686.35, 74,513.73 and 16,400.21

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Solution

The fourth proportional to 49,686.35, 74,513.73 and 16,400.21 is: 24,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686.35 : 74,513.73 = 16,400.21 : x
  2. Step 2: Convert to fraction form
    49,686.35/74,513.73 = 16,400.21/x
  3. Step 3: Cross multiply
    49,686.35x = 74,513.73 × 16,400.21
  4. Step 4: Simplify right side
    49,686.35x = 1,222,040,819.88
  5. Step 5: Solve for x
    x = 1,222,040,819.88/49,686.35
  6. Step 6: Final answer
    x = 24,595.10

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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.