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Finding the Fourth Proportional to 90,133.16, 135,218.80 and 33,972.08

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Solution

The fourth proportional to 90,133.16, 135,218.80 and 33,972.08 is: 50,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,133.16 : 135,218.80 = 33,972.08 : x
  2. Step 2: Convert to fraction form
    90,133.16/135,218.80 = 33,972.08/x
  3. Step 3: Cross multiply
    90,133.16x = 135,218.80 × 33,972.08
  4. Step 4: Simplify right side
    90,133.16x = 4,593,663,891.10
  5. Step 5: Solve for x
    x = 4,593,663,891.10/90,133.16
  6. Step 6: Final answer
    x = 50,965.30

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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.