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Finding the Fourth Proportional to 41,477.57, 57,238.74 and 22,614.83

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Solution

The fourth proportional to 41,477.57, 57,238.74 and 22,614.83 is: 31,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,477.57 : 57,238.74 = 22,614.83 : x
  2. Step 2: Convert to fraction form
    41,477.57/57,238.74 = 22,614.83/x
  3. Step 3: Cross multiply
    41,477.57x = 57,238.74 × 22,614.83
  4. Step 4: Simplify right side
    41,477.57x = 1,294,444,374.51
  5. Step 5: Solve for x
    x = 1,294,444,374.51/41,477.57
  6. Step 6: Final answer
    x = 31,208.30

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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.