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Finding the Fourth Proportional to 70,714.25, 106,121.96 and 25,735.54

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Solution

The fourth proportional to 70,714.25, 106,121.96 and 25,735.54 is: 38,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714.25 : 106,121.96 = 25,735.54 : x
  2. Step 2: Convert to fraction form
    70,714.25/106,121.96 = 25,735.54/x
  3. Step 3: Cross multiply
    70,714.25x = 106,121.96 × 25,735.54
  4. Step 4: Simplify right side
    70,714.25x = 2,731,105,946.46
  5. Step 5: Solve for x
    x = 2,731,105,946.46/70,714.25
  6. Step 6: Final answer
    x = 38,621.72

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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.