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Finding the Fourth Proportional to 33,221.53, 49,823.79 and 9,842.50

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Solution

The fourth proportional to 33,221.53, 49,823.79 and 9,842.50 is: 14,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.53 : 49,823.79 = 9,842.50 : x
  2. Step 2: Convert to fraction form
    33,221.53/49,823.79 = 9,842.50/x
  3. Step 3: Cross multiply
    33,221.53x = 49,823.79 × 9,842.50
  4. Step 4: Simplify right side
    33,221.53x = 490,390,653.08
  5. Step 5: Solve for x
    x = 490,390,653.08/33,221.53
  6. Step 6: Final answer
    x = 14,761.23

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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.