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Finding the Fourth Proportional to 32,063.76, 48,093.84 and 11,285.52

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Solution

The fourth proportional to 32,063.76, 48,093.84 and 11,285.52 is: 16,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,063.76 : 48,093.84 = 11,285.52 : x
  2. Step 2: Convert to fraction form
    32,063.76/48,093.84 = 11,285.52/x
  3. Step 3: Cross multiply
    32,063.76x = 48,093.84 × 11,285.52
  4. Step 4: Simplify right side
    32,063.76x = 542,763,993.20
  5. Step 5: Solve for x
    x = 542,763,993.20/32,063.76
  6. Step 6: Final answer
    x = 16,927.65

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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.