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Finding the Fourth Proportional to 41,042, 56,661 and 31,463.76

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Solution

The fourth proportional to 41,042, 56,661 and 31,463.76 is: 43,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,042 : 56,661 = 31,463.76 : x
  2. Step 2: Convert to fraction form
    41,042/56,661 = 31,463.76/x
  3. Step 3: Cross multiply
    41,042x = 56,661 × 31,463.76
  4. Step 4: Simplify right side
    41,042x = 1,782,768,105.36
  5. Step 5: Solve for x
    x = 1,782,768,105.36/41,042
  6. Step 6: Final answer
    x = 43,437.65

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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.