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Finding the Fourth Proportional to 32,596, 48,894 and 11,819.52

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Solution

The fourth proportional to 32,596, 48,894 and 11,819.52 is: 17,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596 : 48,894 = 11,819.52 : x
  2. Step 2: Convert to fraction form
    32,596/48,894 = 11,819.52/x
  3. Step 3: Cross multiply
    32,596x = 48,894 × 11,819.52
  4. Step 4: Simplify right side
    32,596x = 577,903,610.88
  5. Step 5: Solve for x
    x = 577,903,610.88/32,596
  6. Step 6: Final answer
    x = 17,729.28

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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.