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Finding the Fourth Proportional to 41,307, 57,003.24 and 22,444.20

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Solution

The fourth proportional to 41,307, 57,003.24 and 22,444.20 is: 30,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,307 : 57,003.24 = 22,444.20 : x
  2. Step 2: Convert to fraction form
    41,307/57,003.24 = 22,444.20/x
  3. Step 3: Cross multiply
    41,307x = 57,003.24 × 22,444.20
  4. Step 4: Simplify right side
    41,307x = 1,279,392,119.21
  5. Step 5: Solve for x
    x = 1,279,392,119.21/41,307
  6. Step 6: Final answer
    x = 30,972.77

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Double scale
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1.5x scale

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.