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Finding the Fourth Proportional to 100,652.20, 150,977.76 and 25,772.20

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Solution

The fourth proportional to 100,652.20, 150,977.76 and 25,772.20 is: 38,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,652.20 : 150,977.76 = 25,772.20 : x
  2. Step 2: Convert to fraction form
    100,652.20/150,977.76 = 25,772.20/x
  3. Step 3: Cross multiply
    100,652.20x = 150,977.76 × 25,772.20
  4. Step 4: Simplify right side
    100,652.20x = 3,891,029,026.27
  5. Step 5: Solve for x
    x = 3,891,029,026.27/100,652.20
  6. Step 6: Final answer
    x = 38,658.16

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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.