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Finding the Fourth Proportional to 33,311.72, 49,967.58 and 9,954.56

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Solution

The fourth proportional to 33,311.72, 49,967.58 and 9,954.56 is: 14,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311.72 : 49,967.58 = 9,954.56 : x
  2. Step 2: Convert to fraction form
    33,311.72/49,967.58 = 9,954.56/x
  3. Step 3: Cross multiply
    33,311.72x = 49,967.58 × 9,954.56
  4. Step 4: Simplify right side
    33,311.72x = 497,405,273.16
  5. Step 5: Solve for x
    x = 497,405,273.16/33,311.72
  6. Step 6: Final answer
    x = 14,931.84

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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.