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Finding the Fourth Proportional to 89,474.91, 123,477.73 and 49,189.68

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Solution

The fourth proportional to 89,474.91, 123,477.73 and 49,189.68 is: 67,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,474.91 : 123,477.73 = 49,189.68 : x
  2. Step 2: Convert to fraction form
    89,474.91/123,477.73 = 49,189.68/x
  3. Step 3: Cross multiply
    89,474.91x = 123,477.73 × 49,189.68
  4. Step 4: Simplify right side
    89,474.91x = 6,073,830,211.55
  5. Step 5: Solve for x
    x = 6,073,830,211.55/89,474.91
  6. Step 6: Final answer
    x = 67,883.06

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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.