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Finding the Fourth Proportional to 55,743, 76,925.46 and 30,592.44

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Solution

The fourth proportional to 55,743, 76,925.46 and 30,592.44 is: 42,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,743 : 76,925.46 = 30,592.44 : x
  2. Step 2: Convert to fraction form
    55,743/76,925.46 = 30,592.44/x
  3. Step 3: Cross multiply
    55,743x = 76,925.46 × 30,592.44
  4. Step 4: Simplify right side
    55,743x = 2,353,337,519.52
  5. Step 5: Solve for x
    x = 2,353,337,519.52/55,743
  6. Step 6: Final answer
    x = 42,217.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.