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Finding the Fourth Proportional to 89,429.80, 123,410.54 and 50,664

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Solution

The fourth proportional to 89,429.80, 123,410.54 and 50,664 is: 69,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,429.80 : 123,410.54 = 50,664 : x
  2. Step 2: Convert to fraction form
    89,429.80/123,410.54 = 50,664/x
  3. Step 3: Cross multiply
    89,429.80x = 123,410.54 × 50,664
  4. Step 4: Simplify right side
    89,429.80x = 6,252,471,598.56
  5. Step 5: Solve for x
    x = 6,252,471,598.56/89,429.80
  6. Step 6: Final answer
    x = 69,914.86

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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.