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Finding the Fourth Proportional to 32,832, 49,274.88 and 22,991.04

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Solution

The fourth proportional to 32,832, 49,274.88 and 22,991.04 is: 34,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 49,274.88 = 22,991.04 : x
  2. Step 2: Convert to fraction form
    32,832/49,274.88 = 22,991.04/x
  3. Step 3: Cross multiply
    32,832x = 49,274.88 × 22,991.04
  4. Step 4: Simplify right side
    32,832x = 1,132,880,737.08
  5. Step 5: Solve for x
    x = 1,132,880,737.08/32,832
  6. Step 6: Final answer
    x = 34,505.38

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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.