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Finding the Fourth Proportional to 71,796.49, 107,699.93 and 21,876.46

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Solution

The fourth proportional to 71,796.49, 107,699.93 and 21,876.46 is: 32,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796.49 : 107,699.93 = 21,876.46 : x
  2. Step 2: Convert to fraction form
    71,796.49/107,699.93 = 21,876.46/x
  3. Step 3: Cross multiply
    71,796.49x = 107,699.93 × 21,876.46
  4. Step 4: Simplify right side
    71,796.49x = 2,356,093,210.65
  5. Step 5: Solve for x
    x = 2,356,093,210.65/71,796.49
  6. Step 6: Final answer
    x = 32,816.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.