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Finding the Fourth Proportional to 89,276, 133,914.76 and 22,716.20

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Solution

The fourth proportional to 89,276, 133,914.76 and 22,716.20 is: 34,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,276 : 133,914.76 = 22,716.20 : x
  2. Step 2: Convert to fraction form
    89,276/133,914.76 = 22,716.20/x
  3. Step 3: Cross multiply
    89,276x = 133,914.76 × 22,716.20
  4. Step 4: Simplify right side
    89,276x = 3,042,034,471.11
  5. Step 5: Solve for x
    x = 3,042,034,471.11/89,276
  6. Step 6: Final answer
    x = 34,074.49

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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.