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Finding the Fourth Proportional to 33,306.53, 49,969.80 and 9,932.94

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Solution

The fourth proportional to 33,306.53, 49,969.80 and 9,932.94 is: 14,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306.53 : 49,969.80 = 9,932.94 : x
  2. Step 2: Convert to fraction form
    33,306.53/49,969.80 = 9,932.94/x
  3. Step 3: Cross multiply
    33,306.53x = 49,969.80 × 9,932.94
  4. Step 4: Simplify right side
    33,306.53x = 496,347,025.21
  5. Step 5: Solve for x
    x = 496,347,025.21/33,306.53
  6. Step 6: Final answer
    x = 14,902.40

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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.