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Finding the Fourth Proportional to 29,221.50, 43,838.01 and 9,500.54

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Solution

The fourth proportional to 29,221.50, 43,838.01 and 9,500.54 is: 14,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221.50 : 43,838.01 = 9,500.54 : x
  2. Step 2: Convert to fraction form
    29,221.50/43,838.01 = 9,500.54/x
  3. Step 3: Cross multiply
    29,221.50x = 43,838.01 × 9,500.54
  4. Step 4: Simplify right side
    29,221.50x = 416,484,767.53
  5. Step 5: Solve for x
    x = 416,484,767.53/29,221.50
  6. Step 6: Final answer
    x = 14,252.68

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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.