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Finding the Fourth Proportional to 32,404, 44,717.52 and 17,500

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Solution

The fourth proportional to 32,404, 44,717.52 and 17,500 is: 24,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404 : 44,717.52 = 17,500 : x
  2. Step 2: Convert to fraction form
    32,404/44,717.52 = 17,500/x
  3. Step 3: Cross multiply
    32,404x = 44,717.52 × 17,500
  4. Step 4: Simplify right side
    32,404x = 782,556,600
  5. Step 5: Solve for x
    x = 782,556,600/32,404
  6. Step 6: Final answer
    x = 24,150

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.