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Finding the Fourth Proportional to 32,557.41, 48,835.98 and 9,183.78

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Solution

The fourth proportional to 32,557.41, 48,835.98 and 9,183.78 is: 13,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.41 : 48,835.98 = 9,183.78 : x
  2. Step 2: Convert to fraction form
    32,557.41/48,835.98 = 9,183.78/x
  3. Step 3: Cross multiply
    32,557.41x = 48,835.98 × 9,183.78
  4. Step 4: Simplify right side
    32,557.41x = 448,498,896.40
  5. Step 5: Solve for x
    x = 448,498,896.40/32,557.41
  6. Step 6: Final answer
    x = 13,775.63

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Why These Related Problems?

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