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Finding the Fourth Proportional to 89,209.52, 133,814.34 and 22,654.64

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Solution

The fourth proportional to 89,209.52, 133,814.34 and 22,654.64 is: 33,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,209.52 : 133,814.34 = 22,654.64 : x
  2. Step 2: Convert to fraction form
    89,209.52/133,814.34 = 22,654.64/x
  3. Step 3: Cross multiply
    89,209.52x = 133,814.34 × 22,654.64
  4. Step 4: Simplify right side
    89,209.52x = 3,031,515,699.54
  5. Step 5: Solve for x
    x = 3,031,515,699.54/89,209.52
  6. Step 6: Final answer
    x = 33,981.98

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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.