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Finding the Fourth Proportional to 54,700.92, 75,486.22 and 30,827.12

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Solution

The fourth proportional to 54,700.92, 75,486.22 and 30,827.12 is: 42,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.92 : 75,486.22 = 30,827.12 : x
  2. Step 2: Convert to fraction form
    54,700.92/75,486.22 = 30,827.12/x
  3. Step 3: Cross multiply
    54,700.92x = 75,486.22 × 30,827.12
  4. Step 4: Simplify right side
    54,700.92x = 2,327,022,384.86
  5. Step 5: Solve for x
    x = 2,327,022,384.86/54,700.92
  6. Step 6: Final answer
    x = 42,540.83

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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.