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Finding the Fourth Proportional to 33,231.86, 49,848.09 and 9,858.30

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Solution

The fourth proportional to 33,231.86, 49,848.09 and 9,858.30 is: 14,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.86 : 49,848.09 = 9,858.30 : x
  2. Step 2: Convert to fraction form
    33,231.86/49,848.09 = 9,858.30/x
  3. Step 3: Cross multiply
    33,231.86x = 49,848.09 × 9,858.30
  4. Step 4: Simplify right side
    33,231.86x = 491,417,425.65
  5. Step 5: Solve for x
    x = 491,417,425.65/33,231.86
  6. Step 6: Final answer
    x = 14,787.54

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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.