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Finding the Fourth Proportional to 32,771.36, 49,157.44 and 9,398

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Solution

The fourth proportional to 32,771.36, 49,157.44 and 9,398 is: 14,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.36 : 49,157.44 = 9,398 : x
  2. Step 2: Convert to fraction form
    32,771.36/49,157.44 = 9,398/x
  3. Step 3: Cross multiply
    32,771.36x = 49,157.44 × 9,398
  4. Step 4: Simplify right side
    32,771.36x = 461,981,621.12
  5. Step 5: Solve for x
    x = 461,981,621.12/32,771.36
  6. Step 6: Final answer
    x = 14,097.11

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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.