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Finding the Fourth Proportional to 48,508.30, 72,645.72 and 32,878.54

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Solution

The fourth proportional to 48,508.30, 72,645.72 and 32,878.54 is: 49,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,508.30 : 72,645.72 = 32,878.54 : x
  2. Step 2: Convert to fraction form
    48,508.30/72,645.72 = 32,878.54/x
  3. Step 3: Cross multiply
    48,508.30x = 72,645.72 × 32,878.54
  4. Step 4: Simplify right side
    48,508.30x = 2,388,485,210.85
  5. Step 5: Solve for x
    x = 2,388,485,210.85/48,508.30
  6. Step 6: Final answer
    x = 49,238.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.