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Finding the Fourth Proportional to 29,500, 44,146.08 and 18,411.92

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Solution

The fourth proportional to 29,500, 44,146.08 and 18,411.92 is: 27,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 44,146.08 = 18,411.92 : x
  2. Step 2: Convert to fraction form
    29,500/44,146.08 = 18,411.92/x
  3. Step 3: Cross multiply
    29,500x = 44,146.08 × 18,411.92
  4. Step 4: Simplify right side
    29,500x = 812,814,093.27
  5. Step 5: Solve for x
    x = 812,814,093.27/29,500
  6. Step 6: Final answer
    x = 27,553.02

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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.