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Finding the Fourth Proportional to 41,580, 57,381.62 and 22,718.34

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Solution

The fourth proportional to 41,580, 57,381.62 and 22,718.34 is: 31,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 57,381.62 = 22,718.34 : x
  2. Step 2: Convert to fraction form
    41,580/57,381.62 = 22,718.34/x
  3. Step 3: Cross multiply
    41,580x = 57,381.62 × 22,718.34
  4. Step 4: Simplify right side
    41,580x = 1,303,615,039.32
  5. Step 5: Solve for x
    x = 1,303,615,039.32/41,580
  6. Step 6: Final answer
    x = 31,351.97

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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.