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Finding the Fourth Proportional to 48,509.86, 66,942.91 and 27,289.12

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Solution

The fourth proportional to 48,509.86, 66,942.91 and 27,289.12 is: 37,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,509.86 : 66,942.91 = 27,289.12 : x
  2. Step 2: Convert to fraction form
    48,509.86/66,942.91 = 27,289.12/x
  3. Step 3: Cross multiply
    48,509.86x = 66,942.91 × 27,289.12
  4. Step 4: Simplify right side
    48,509.86x = 1,826,813,104.14
  5. Step 5: Solve for x
    x = 1,826,813,104.14/48,509.86
  6. Step 6: Final answer
    x = 37,658.59

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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.