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Finding the Fourth Proportional to 61,891.74, 92,842.56 and 19,777.82

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Solution

The fourth proportional to 61,891.74, 92,842.56 and 19,777.82 is: 29,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,891.74 : 92,842.56 = 19,777.82 : x
  2. Step 2: Convert to fraction form
    61,891.74/92,842.56 = 19,777.82/x
  3. Step 3: Cross multiply
    61,891.74x = 92,842.56 × 19,777.82
  4. Step 4: Simplify right side
    61,891.74x = 1,836,222,975.81
  5. Step 5: Solve for x
    x = 1,836,222,975.81/61,891.74
  6. Step 6: Final answer
    x = 29,668.30

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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.