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Finding the Fourth Proportional to 89,093.76, 122,949.38 and 53,283.77

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Solution

The fourth proportional to 89,093.76, 122,949.38 and 53,283.77 is: 73,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,093.76 : 122,949.38 = 53,283.77 : x
  2. Step 2: Convert to fraction form
    89,093.76/122,949.38 = 53,283.77/x
  3. Step 3: Cross multiply
    89,093.76x = 122,949.38 × 53,283.77
  4. Step 4: Simplify right side
    89,093.76x = 6,551,205,819.57
  5. Step 5: Solve for x
    x = 6,551,205,819.57/89,093.76
  6. Step 6: Final answer
    x = 73,531.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.