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Finding the Fourth Proportional to 41,577, 57,376.62 and 22,714.14

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Solution

The fourth proportional to 41,577, 57,376.62 and 22,714.14 is: 31,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,577 : 57,376.62 = 22,714.14 : x
  2. Step 2: Convert to fraction form
    41,577/57,376.62 = 22,714.14/x
  3. Step 3: Cross multiply
    41,577x = 57,376.62 × 22,714.14
  4. Step 4: Simplify right side
    41,577x = 1,303,260,579.41
  5. Step 5: Solve for x
    x = 1,303,260,579.41/41,577
  6. Step 6: Final answer
    x = 31,345.71

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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.