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Finding the Fourth Proportional to 89,126.20, 133,677.78 and 33,715

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Solution

The fourth proportional to 89,126.20, 133,677.78 and 33,715 is: 50,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,126.20 : 133,677.78 = 33,715 : x
  2. Step 2: Convert to fraction form
    89,126.20/133,677.78 = 33,715/x
  3. Step 3: Cross multiply
    89,126.20x = 133,677.78 × 33,715
  4. Step 4: Simplify right side
    89,126.20x = 4,506,946,352.70
  5. Step 5: Solve for x
    x = 4,506,946,352.70/89,126.20
  6. Step 6: Final answer
    x = 50,568.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.