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Finding the Fourth Proportional to 41,650.92, 57,477.78 and 22,788

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Solution

The fourth proportional to 41,650.92, 57,477.78 and 22,788 is: 31,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650.92 : 57,477.78 = 22,788 : x
  2. Step 2: Convert to fraction form
    41,650.92/57,477.78 = 22,788/x
  3. Step 3: Cross multiply
    41,650.92x = 57,477.78 × 22,788
  4. Step 4: Simplify right side
    41,650.92x = 1,309,803,650.64
  5. Step 5: Solve for x
    x = 1,309,803,650.64/41,650.92
  6. Step 6: Final answer
    x = 31,447.17

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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.