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Finding the Fourth Proportional to 33,802, 50,703.20 and 9,178

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Solution

The fourth proportional to 33,802, 50,703.20 and 9,178 is: 13,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802 : 50,703.20 = 9,178 : x
  2. Step 2: Convert to fraction form
    33,802/50,703.20 = 9,178/x
  3. Step 3: Cross multiply
    33,802x = 50,703.20 × 9,178
  4. Step 4: Simplify right side
    33,802x = 465,353,969.60
  5. Step 5: Solve for x
    x = 465,353,969.60/33,802
  6. Step 6: Final answer
    x = 13,767.05

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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.