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Finding the Fourth Proportional to 89,093.80, 133,532.70 and 51,581.80

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Solution

The fourth proportional to 89,093.80, 133,532.70 and 51,581.80 is: 77,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,093.80 : 133,532.70 = 51,581.80 : x
  2. Step 2: Convert to fraction form
    89,093.80/133,532.70 = 51,581.80/x
  3. Step 3: Cross multiply
    89,093.80x = 133,532.70 × 51,581.80
  4. Step 4: Simplify right side
    89,093.80x = 6,887,857,024.86
  5. Step 5: Solve for x
    x = 6,887,857,024.86/89,093.80
  6. Step 6: Final answer
    x = 77,310.17

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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.