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Finding the Fourth Proportional to 61,891.58, 92,832.78 and 19,769.96

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Solution

The fourth proportional to 61,891.58, 92,832.78 and 19,769.96 is: 29,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,891.58 : 92,832.78 = 19,769.96 : x
  2. Step 2: Convert to fraction form
    61,891.58/92,832.78 = 19,769.96/x
  3. Step 3: Cross multiply
    61,891.58x = 92,832.78 × 19,769.96
  4. Step 4: Simplify right side
    61,891.58x = 1,835,300,347.29
  5. Step 5: Solve for x
    x = 1,835,300,347.29/61,891.58
  6. Step 6: Final answer
    x = 29,653.47

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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.