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Finding the Fourth Proportional to 41,818, 57,708.87 and 22,956.34

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Solution

The fourth proportional to 41,818, 57,708.87 and 22,956.34 is: 31,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,818 : 57,708.87 = 22,956.34 : x
  2. Step 2: Convert to fraction form
    41,818/57,708.87 = 22,956.34/x
  3. Step 3: Cross multiply
    41,818x = 57,708.87 × 22,956.34
  4. Step 4: Simplify right side
    41,818x = 1,324,784,440.74
  5. Step 5: Solve for x
    x = 1,324,784,440.74/41,818
  6. Step 6: Final answer
    x = 31,679.77

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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.