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Finding the Fourth Proportional to 71,212, 106,819.44 and 21,964

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Solution

The fourth proportional to 71,212, 106,819.44 and 21,964 is: 32,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212 : 106,819.44 = 21,964 : x
  2. Step 2: Convert to fraction form
    71,212/106,819.44 = 21,964/x
  3. Step 3: Cross multiply
    71,212x = 106,819.44 × 21,964
  4. Step 4: Simplify right side
    71,212x = 2,346,182,180.16
  5. Step 5: Solve for x
    x = 2,346,182,180.16/71,212
  6. Step 6: Final answer
    x = 32,946.44

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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.