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Finding the Fourth Proportional to 41,896.39, 57,817.35 and 22,776.16

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Solution

The fourth proportional to 41,896.39, 57,817.35 and 22,776.16 is: 31,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,896.39 : 57,817.35 = 22,776.16 : x
  2. Step 2: Convert to fraction form
    41,896.39/57,817.35 = 22,776.16/x
  3. Step 3: Cross multiply
    41,896.39x = 57,817.35 × 22,776.16
  4. Step 4: Simplify right side
    41,896.39x = 1,316,857,214.38
  5. Step 5: Solve for x
    x = 1,316,857,214.38/41,896.39
  6. Step 6: Final answer
    x = 31,431.28

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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.