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Finding the Fourth Proportional to 57,200.15, 78,939.11 and 32,992.11

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Solution

The fourth proportional to 57,200.15, 78,939.11 and 32,992.11 is: 45,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.15 : 78,939.11 = 32,992.11 : x
  2. Step 2: Convert to fraction form
    57,200.15/78,939.11 = 32,992.11/x
  3. Step 3: Cross multiply
    57,200.15x = 78,939.11 × 32,992.11
  4. Step 4: Simplify right side
    57,200.15x = 2,604,367,635.46
  5. Step 5: Solve for x
    x = 2,604,367,635.46/57,200.15
  6. Step 6: Final answer
    x = 45,530.79

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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.