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Finding the Fourth Proportional to 89,092.63, 122,944.62 and 50,854.15

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Solution

The fourth proportional to 89,092.63, 122,944.62 and 50,854.15 is: 70,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,092.63 : 122,944.62 = 50,854.15 : x
  2. Step 2: Convert to fraction form
    89,092.63/122,944.62 = 50,854.15/x
  3. Step 3: Cross multiply
    89,092.63x = 122,944.62 × 50,854.15
  4. Step 4: Simplify right side
    89,092.63x = 6,252,244,147.17
  5. Step 5: Solve for x
    x = 6,252,244,147.17/89,092.63
  6. Step 6: Final answer
    x = 70,176.90

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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.