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Finding the Fourth Proportional to 32,705.76, 49,063.44 and 10,511.82

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Solution

The fourth proportional to 32,705.76, 49,063.44 and 10,511.82 is: 15,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.76 : 49,063.44 = 10,511.82 : x
  2. Step 2: Convert to fraction form
    32,705.76/49,063.44 = 10,511.82/x
  3. Step 3: Cross multiply
    32,705.76x = 49,063.44 × 10,511.82
  4. Step 4: Simplify right side
    32,705.76x = 515,746,049.86
  5. Step 5: Solve for x
    x = 515,746,049.86/32,705.76
  6. Step 6: Final answer
    x = 15,769.27

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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.