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Finding the Fourth Proportional to 41,640, 57,463.32 and 22,776.96

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Solution

The fourth proportional to 41,640, 57,463.32 and 22,776.96 is: 31,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640 : 57,463.32 = 22,776.96 : x
  2. Step 2: Convert to fraction form
    41,640/57,463.32 = 22,776.96/x
  3. Step 3: Cross multiply
    41,640x = 57,463.32 × 22,776.96
  4. Step 4: Simplify right side
    41,640x = 1,308,839,741.11
  5. Step 5: Solve for x
    x = 1,308,839,741.11/41,640
  6. Step 6: Final answer
    x = 31,432.27

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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.