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Finding the Fourth Proportional to 89,847.78, 123,949.89 and 52,100.16

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Solution

The fourth proportional to 89,847.78, 123,949.89 and 52,100.16 is: 71,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,847.78 : 123,949.89 = 52,100.16 : x
  2. Step 2: Convert to fraction form
    89,847.78/123,949.89 = 52,100.16/x
  3. Step 3: Cross multiply
    89,847.78x = 123,949.89 × 52,100.16
  4. Step 4: Simplify right side
    89,847.78x = 6,457,809,100.98
  5. Step 5: Solve for x
    x = 6,457,809,100.98/89,847.78
  6. Step 6: Final answer
    x = 71,875.00

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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.