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Finding the Fourth Proportional to 89,105, 122,964.90 and 53,296.52

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Solution

The fourth proportional to 89,105, 122,964.90 and 53,296.52 is: 73,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,105 : 122,964.90 = 53,296.52 : x
  2. Step 2: Convert to fraction form
    89,105/122,964.90 = 53,296.52/x
  3. Step 3: Cross multiply
    89,105x = 122,964.90 × 53,296.52
  4. Step 4: Simplify right side
    89,105x = 6,553,601,252.15
  5. Step 5: Solve for x
    x = 6,553,601,252.15/89,105
  6. Step 6: Final answer
    x = 73,549.20

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