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Finding the Fourth Proportional to 33,866.02, 50,798.49 and 9,242.02

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Solution

The fourth proportional to 33,866.02, 50,798.49 and 9,242.02 is: 13,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,866.02 : 50,798.49 = 9,242.02 : x
  2. Step 2: Convert to fraction form
    33,866.02/50,798.49 = 9,242.02/x
  3. Step 3: Cross multiply
    33,866.02x = 50,798.49 × 9,242.02
  4. Step 4: Simplify right side
    33,866.02x = 469,480,660.55
  5. Step 5: Solve for x
    x = 469,480,660.55/33,866.02
  6. Step 6: Final answer
    x = 13,862.88

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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.