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Finding the Fourth Proportional to 40,549, 55,957 and 22,644.27

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Solution

The fourth proportional to 40,549, 55,957 and 22,644.27 is: 31,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,549 : 55,957 = 22,644.27 : x
  2. Step 2: Convert to fraction form
    40,549/55,957 = 22,644.27/x
  3. Step 3: Cross multiply
    40,549x = 55,957 × 22,644.27
  4. Step 4: Simplify right side
    40,549x = 1,267,105,416.39
  5. Step 5: Solve for x
    x = 1,267,105,416.39/40,549
  6. Step 6: Final answer
    x = 31,248.75

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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.