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Finding the Fourth Proportional to 89,852.94, 123,991.74 and 49,566.78

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Solution

The fourth proportional to 89,852.94, 123,991.74 and 49,566.78 is: 68,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,852.94 : 123,991.74 = 49,566.78 : x
  2. Step 2: Convert to fraction form
    89,852.94/123,991.74 = 49,566.78/x
  3. Step 3: Cross multiply
    89,852.94x = 123,991.74 × 49,566.78
  4. Step 4: Simplify right side
    89,852.94x = 6,145,871,298.40
  5. Step 5: Solve for x
    x = 6,145,871,298.40/89,852.94
  6. Step 6: Final answer
    x = 68,399.22

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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.