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Finding the Fourth Proportional to 33,221.03, 49,823.04 and 9,842

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Solution

The fourth proportional to 33,221.03, 49,823.04 and 9,842 is: 14,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.03 : 49,823.04 = 9,842 : x
  2. Step 2: Convert to fraction form
    33,221.03/49,823.04 = 9,842/x
  3. Step 3: Cross multiply
    33,221.03x = 49,823.04 × 9,842
  4. Step 4: Simplify right side
    33,221.03x = 490,358,359.68
  5. Step 5: Solve for x
    x = 490,358,359.68/33,221.03
  6. Step 6: Final answer
    x = 14,760.48

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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.