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Finding the Fourth Proportional to 41,678.56, 57,516.51 and 22,816.90

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Solution

The fourth proportional to 41,678.56, 57,516.51 and 22,816.90 is: 31,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678.56 : 57,516.51 = 22,816.90 : x
  2. Step 2: Convert to fraction form
    41,678.56/57,516.51 = 22,816.90/x
  3. Step 3: Cross multiply
    41,678.56x = 57,516.51 × 22,816.90
  4. Step 4: Simplify right side
    41,678.56x = 1,312,348,457.02
  5. Step 5: Solve for x
    x = 1,312,348,457.02/41,678.56
  6. Step 6: Final answer
    x = 31,487.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.