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Finding the Fourth Proportional to 46,456.50, 64,122.63 and 27,342.40

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Solution

The fourth proportional to 46,456.50, 64,122.63 and 27,342.40 is: 37,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456.50 : 64,122.63 = 27,342.40 : x
  2. Step 2: Convert to fraction form
    46,456.50/64,122.63 = 27,342.40/x
  3. Step 3: Cross multiply
    46,456.50x = 64,122.63 × 27,342.40
  4. Step 4: Simplify right side
    46,456.50x = 1,753,266,906.08
  5. Step 5: Solve for x
    x = 1,753,266,906.08/46,456.50
  6. Step 6: Final answer
    x = 37,739.97

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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.