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Finding the Fourth Proportional to 65,096.20, 97,649.70 and 20,721.70

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Solution

The fourth proportional to 65,096.20, 97,649.70 and 20,721.70 is: 31,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.20 : 97,649.70 = 20,721.70 : x
  2. Step 2: Convert to fraction form
    65,096.20/97,649.70 = 20,721.70/x
  3. Step 3: Cross multiply
    65,096.20x = 97,649.70 × 20,721.70
  4. Step 4: Simplify right side
    65,096.20x = 2,023,467,788.49
  5. Step 5: Solve for x
    x = 2,023,467,788.49/65,096.20
  6. Step 6: Final answer
    x = 31,084.27

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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.