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Finding the Fourth Proportional to 89,093.80, 122,949.46 and 48,809.02

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Solution

The fourth proportional to 89,093.80, 122,949.46 and 48,809.02 is: 67,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,093.80 : 122,949.46 = 48,809.02 : x
  2. Step 2: Convert to fraction form
    89,093.80/122,949.46 = 48,809.02/x
  3. Step 3: Cross multiply
    89,093.80x = 122,949.46 × 48,809.02
  4. Step 4: Simplify right side
    89,093.80x = 6,001,042,652.13
  5. Step 5: Solve for x
    x = 6,001,042,652.13/89,093.80
  6. Step 6: Final answer
    x = 67,356.46

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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.