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Finding the Fourth Proportional to 32,991.85, 49,498.64 and 21,942.01

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Solution

The fourth proportional to 32,991.85, 49,498.64 and 21,942.01 is: 32,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.85 : 49,498.64 = 21,942.01 : x
  2. Step 2: Convert to fraction form
    32,991.85/49,498.64 = 21,942.01/x
  3. Step 3: Cross multiply
    32,991.85x = 49,498.64 × 21,942.01
  4. Step 4: Simplify right side
    32,991.85x = 1,086,099,653.87
  5. Step 5: Solve for x
    x = 1,086,099,653.87/32,991.85
  6. Step 6: Final answer
    x = 32,920.24

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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.