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Finding the Fourth Proportional to 89,852.49, 123,994.46 and 49,566.29

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Solution

The fourth proportional to 89,852.49, 123,994.46 and 49,566.29 is: 68,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,852.49 : 123,994.46 = 49,566.29 : x
  2. Step 2: Convert to fraction form
    89,852.49/123,994.46 = 49,566.29/x
  3. Step 3: Cross multiply
    89,852.49x = 123,994.46 × 49,566.29
  4. Step 4: Simplify right side
    89,852.49x = 6,145,944,494.95
  5. Step 5: Solve for x
    x = 6,145,944,494.95/89,852.49
  6. Step 6: Final answer
    x = 68,400.38

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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.