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Finding the Fourth Proportional to 47,757.60, 65,839.62 and 38,099.82

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Solution

The fourth proportional to 47,757.60, 65,839.62 and 38,099.82 is: 52,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.60 : 65,839.62 = 38,099.82 : x
  2. Step 2: Convert to fraction form
    47,757.60/65,839.62 = 38,099.82/x
  3. Step 3: Cross multiply
    47,757.60x = 65,839.62 × 38,099.82
  4. Step 4: Simplify right side
    47,757.60x = 2,508,477,670.87
  5. Step 5: Solve for x
    x = 2,508,477,670.87/47,757.60
  6. Step 6: Final answer
    x = 52,525.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.