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Finding the Fourth Proportional to 89,207.52, 133,811.34 and 22,652.64

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Solution

The fourth proportional to 89,207.52, 133,811.34 and 22,652.64 is: 33,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,207.52 : 133,811.34 = 22,652.64 : x
  2. Step 2: Convert to fraction form
    89,207.52/133,811.34 = 22,652.64/x
  3. Step 3: Cross multiply
    89,207.52x = 133,811.34 × 22,652.64
  4. Step 4: Simplify right side
    89,207.52x = 3,031,180,112.94
  5. Step 5: Solve for x
    x = 3,031,180,112.94/89,207.52
  6. Step 6: Final answer
    x = 33,978.98

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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.