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Finding the Fourth Proportional to 52,493.24, 78,650.76 and 31,673

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Solution

The fourth proportional to 52,493.24, 78,650.76 and 31,673 is: 47,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,493.24 : 78,650.76 = 31,673 : x
  2. Step 2: Convert to fraction form
    52,493.24/78,650.76 = 31,673/x
  3. Step 3: Cross multiply
    52,493.24x = 78,650.76 × 31,673
  4. Step 4: Simplify right side
    52,493.24x = 2,491,105,521.48
  5. Step 5: Solve for x
    x = 2,491,105,521.48/52,493.24
  6. Step 6: Final answer
    x = 47,455.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.