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Finding the Fourth Proportional to 89,206.52, 133,809.84 and 22,651.64

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Solution

The fourth proportional to 89,206.52, 133,809.84 and 22,651.64 is: 33,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,206.52 : 133,809.84 = 22,651.64 : x
  2. Step 2: Convert to fraction form
    89,206.52/133,809.84 = 22,651.64/x
  3. Step 3: Cross multiply
    89,206.52x = 133,809.84 × 22,651.64
  4. Step 4: Simplify right side
    89,206.52x = 3,031,012,324.14
  5. Step 5: Solve for x
    x = 3,031,012,324.14/89,206.52
  6. Step 6: Final answer
    x = 33,977.48

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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.