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Finding the Fourth Proportional to 71,842.66, 107,764.00 and 21,923.02

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Solution

The fourth proportional to 71,842.66, 107,764.00 and 21,923.02 is: 32,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.66 : 107,764.00 = 21,923.02 : x
  2. Step 2: Convert to fraction form
    71,842.66/107,764.00 = 21,923.02/x
  3. Step 3: Cross multiply
    71,842.66x = 107,764.00 × 21,923.02
  4. Step 4: Simplify right side
    71,842.66x = 2,362,511,678.84
  5. Step 5: Solve for x
    x = 2,362,511,678.84/71,842.66
  6. Step 6: Final answer
    x = 32,884.53

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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.