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Finding the Fourth Proportional to 32,553.78, 48,825.20 and 9,174.75

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Solution

The fourth proportional to 32,553.78, 48,825.20 and 9,174.75 is: 13,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.78 : 48,825.20 = 9,174.75 : x
  2. Step 2: Convert to fraction form
    32,553.78/48,825.20 = 9,174.75/x
  3. Step 3: Cross multiply
    32,553.78x = 48,825.20 × 9,174.75
  4. Step 4: Simplify right side
    32,553.78x = 447,958,957.83
  5. Step 5: Solve for x
    x = 447,958,957.83/32,553.78
  6. Step 6: Final answer
    x = 13,760.58

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1.5x scale

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.