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Finding the Fourth Proportional to 89,177.60, 133,766.22 and 21,709.10

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Solution

The fourth proportional to 89,177.60, 133,766.22 and 21,709.10 is: 32,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,177.60 : 133,766.22 = 21,709.10 : x
  2. Step 2: Convert to fraction form
    89,177.60/133,766.22 = 21,709.10/x
  3. Step 3: Cross multiply
    89,177.60x = 133,766.22 × 21,709.10
  4. Step 4: Simplify right side
    89,177.60x = 2,903,944,246.60
  5. Step 5: Solve for x
    x = 2,903,944,246.60/89,177.60
  6. Step 6: Final answer
    x = 32,563.61

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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.