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Finding the Fourth Proportional to 49,132.64, 67,803.30 and 27,913.12

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Solution

The fourth proportional to 49,132.64, 67,803.30 and 27,913.12 is: 38,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,132.64 : 67,803.30 = 27,913.12 : x
  2. Step 2: Convert to fraction form
    49,132.64/67,803.30 = 27,913.12/x
  3. Step 3: Cross multiply
    49,132.64x = 67,803.30 × 27,913.12
  4. Step 4: Simplify right side
    49,132.64x = 1,892,601,649.30
  5. Step 5: Solve for x
    x = 1,892,601,649.30/49,132.64
  6. Step 6: Final answer
    x = 38,520.25

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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.