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Finding the Fourth Proportional to 64,819.20, 97,253.10 and 25,404.60

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Solution

The fourth proportional to 64,819.20, 97,253.10 and 25,404.60 is: 38,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,819.20 : 97,253.10 = 25,404.60 : x
  2. Step 2: Convert to fraction form
    64,819.20/97,253.10 = 25,404.60/x
  3. Step 3: Cross multiply
    64,819.20x = 97,253.10 × 25,404.60
  4. Step 4: Simplify right side
    64,819.20x = 2,470,676,104.26
  5. Step 5: Solve for x
    x = 2,470,676,104.26/64,819.20
  6. Step 6: Final answer
    x = 38,116.42

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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.