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Finding the Fourth Proportional to 41,568, 57,364.16 and 22,705.13

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Solution

The fourth proportional to 41,568, 57,364.16 and 22,705.13 is: 31,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,568 : 57,364.16 = 22,705.13 : x
  2. Step 2: Convert to fraction form
    41,568/57,364.16 = 22,705.13/x
  3. Step 3: Cross multiply
    41,568x = 57,364.16 × 22,705.13
  4. Step 4: Simplify right side
    41,568x = 1,302,460,309.79
  5. Step 5: Solve for x
    x = 1,302,460,309.79/41,568
  6. Step 6: Final answer
    x = 31,333.24

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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.