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Finding the Fourth Proportional to 77,842.65, 116,764.08 and 21,682.92

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Solution

The fourth proportional to 77,842.65, 116,764.08 and 21,682.92 is: 32,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.65 : 116,764.08 = 21,682.92 : x
  2. Step 2: Convert to fraction form
    77,842.65/116,764.08 = 21,682.92/x
  3. Step 3: Cross multiply
    77,842.65x = 116,764.08 × 21,682.92
  4. Step 4: Simplify right side
    77,842.65x = 2,531,786,205.51
  5. Step 5: Solve for x
    x = 2,531,786,205.51/77,842.65
  6. Step 6: Final answer
    x = 32,524.41

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