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Finding the Fourth Proportional to 33,561, 50,352.48 and 10,187.46

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Solution

The fourth proportional to 33,561, 50,352.48 and 10,187.46 is: 15,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561 : 50,352.48 = 10,187.46 : x
  2. Step 2: Convert to fraction form
    33,561/50,352.48 = 10,187.46/x
  3. Step 3: Cross multiply
    33,561x = 50,352.48 × 10,187.46
  4. Step 4: Simplify right side
    33,561x = 512,963,875.90
  5. Step 5: Solve for x
    x = 512,963,875.90/33,561
  6. Step 6: Final answer
    x = 15,284.52

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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.