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Finding the Fourth Proportional to 89,771.76, 134,652.78 and 27,442.26

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Solution

The fourth proportional to 89,771.76, 134,652.78 and 27,442.26 is: 41,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,771.76 : 134,652.78 = 27,442.26 : x
  2. Step 2: Convert to fraction form
    89,771.76/134,652.78 = 27,442.26/x
  3. Step 3: Cross multiply
    89,771.76x = 134,652.78 × 27,442.26
  4. Step 4: Simplify right side
    89,771.76x = 3,695,176,598.48
  5. Step 5: Solve for x
    x = 3,695,176,598.48/89,771.76
  6. Step 6: Final answer
    x = 41,161.90

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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.