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Finding the Fourth Proportional to 55,181.76, 82,772.21 and 36,545.21

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Solution

The fourth proportional to 55,181.76, 82,772.21 and 36,545.21 is: 54,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,181.76 : 82,772.21 = 36,545.21 : x
  2. Step 2: Convert to fraction form
    55,181.76/82,772.21 = 36,545.21/x
  3. Step 3: Cross multiply
    55,181.76x = 82,772.21 × 36,545.21
  4. Step 4: Simplify right side
    55,181.76x = 3,024,927,200.03
  5. Step 5: Solve for x
    x = 3,024,927,200.03/55,181.76
  6. Step 6: Final answer
    x = 54,817.52

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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.