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Finding the Fourth Proportional to 48,464.88, 72,732.83 and 31,819.05

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Solution

The fourth proportional to 48,464.88, 72,732.83 and 31,819.05 is: 47,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464.88 : 72,732.83 = 31,819.05 : x
  2. Step 2: Convert to fraction form
    48,464.88/72,732.83 = 31,819.05/x
  3. Step 3: Cross multiply
    48,464.88x = 72,732.83 × 31,819.05
  4. Step 4: Simplify right side
    48,464.88x = 2,314,289,395.32
  5. Step 5: Solve for x
    x = 2,314,289,395.32/48,464.88
  6. Step 6: Final answer
    x = 47,751.89

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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.