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Finding the Fourth Proportional to 41,678.96, 57,516.32 and 22,816

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Solution

The fourth proportional to 41,678.96, 57,516.32 and 22,816 is: 31,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678.96 : 57,516.32 = 22,816 : x
  2. Step 2: Convert to fraction form
    41,678.96/57,516.32 = 22,816/x
  3. Step 3: Cross multiply
    41,678.96x = 57,516.32 × 22,816
  4. Step 4: Simplify right side
    41,678.96x = 1,312,292,357.12
  5. Step 5: Solve for x
    x = 1,312,292,357.12/41,678.96
  6. Step 6: Final answer
    x = 31,485.73

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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.