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Finding the Fourth Proportional to 37,677.65, 51,999.23 and 24,078.09

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Solution

The fourth proportional to 37,677.65, 51,999.23 and 24,078.09 is: 33,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677.65 : 51,999.23 = 24,078.09 : x
  2. Step 2: Convert to fraction form
    37,677.65/51,999.23 = 24,078.09/x
  3. Step 3: Cross multiply
    37,677.65x = 51,999.23 × 24,078.09
  4. Step 4: Simplify right side
    37,677.65x = 1,252,042,019.48
  5. Step 5: Solve for x
    x = 1,252,042,019.48/37,677.65
  6. Step 6: Final answer
    x = 33,230.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.