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Finding the Fourth Proportional to 89,095.99, 122,952.46 and 53,286

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Solution

The fourth proportional to 89,095.99, 122,952.46 and 53,286 is: 73,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,095.99 : 122,952.46 = 53,286 : x
  2. Step 2: Convert to fraction form
    89,095.99/122,952.46 = 53,286/x
  3. Step 3: Cross multiply
    89,095.99x = 122,952.46 × 53,286
  4. Step 4: Simplify right side
    89,095.99x = 6,551,644,517.13
  5. Step 5: Solve for x
    x = 6,551,644,517.13/89,095.99
  6. Step 6: Final answer
    x = 73,534.68

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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.