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Finding the Fourth Proportional to 32,994.99, 49,511.12 and 15,464.97

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Solution

The fourth proportional to 32,994.99, 49,511.12 and 15,464.97 is: 23,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.99 : 49,511.12 = 15,464.97 : x
  2. Step 2: Convert to fraction form
    32,994.99/49,511.12 = 15,464.97/x
  3. Step 3: Cross multiply
    32,994.99x = 49,511.12 × 15,464.97
  4. Step 4: Simplify right side
    32,994.99x = 765,687,908.14
  5. Step 5: Solve for x
    x = 765,687,908.14/32,994.99
  6. Step 6: Final answer
    x = 23,206.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.