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Finding the Fourth Proportional to 48,974.80, 73,462.20 and 31,464.40

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Solution

The fourth proportional to 48,974.80, 73,462.20 and 31,464.40 is: 47,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974.80 : 73,462.20 = 31,464.40 : x
  2. Step 2: Convert to fraction form
    48,974.80/73,462.20 = 31,464.40/x
  3. Step 3: Cross multiply
    48,974.80x = 73,462.20 × 31,464.40
  4. Step 4: Simplify right side
    48,974.80x = 2,311,444,045.68
  5. Step 5: Solve for x
    x = 2,311,444,045.68/48,974.80
  6. Step 6: Final answer
    x = 47,196.60

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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.