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Finding the Fourth Proportional to 27,458.48, 41,187.73 and 6,681.98

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Solution

The fourth proportional to 27,458.48, 41,187.73 and 6,681.98 is: 10,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.48 : 41,187.73 = 6,681.98 : x
  2. Step 2: Convert to fraction form
    27,458.48/41,187.73 = 6,681.98/x
  3. Step 3: Cross multiply
    27,458.48x = 41,187.73 × 6,681.98
  4. Step 4: Simplify right side
    27,458.48x = 275,215,674.37
  5. Step 5: Solve for x
    x = 275,215,674.37/27,458.48
  6. Step 6: Final answer
    x = 10,022.97

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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.