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Finding the Fourth Proportional to 70,777.64, 106,103.11 and 25,767.24

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Solution

The fourth proportional to 70,777.64, 106,103.11 and 25,767.24 is: 38,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,777.64 : 106,103.11 = 25,767.24 : x
  2. Step 2: Convert to fraction form
    70,777.64/106,103.11 = 25,767.24/x
  3. Step 3: Cross multiply
    70,777.64x = 106,103.11 × 25,767.24
  4. Step 4: Simplify right side
    70,777.64x = 2,733,984,300.12
  5. Step 5: Solve for x
    x = 2,733,984,300.12/70,777.64
  6. Step 6: Final answer
    x = 38,627.80

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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.