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Finding the Fourth Proportional to 48,976.60, 73,464.90 and 31,480.60

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Solution

The fourth proportional to 48,976.60, 73,464.90 and 31,480.60 is: 47,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,976.60 : 73,464.90 = 31,480.60 : x
  2. Step 2: Convert to fraction form
    48,976.60/73,464.90 = 31,480.60/x
  3. Step 3: Cross multiply
    48,976.60x = 73,464.90 × 31,480.60
  4. Step 4: Simplify right side
    48,976.60x = 2,312,719,130.94
  5. Step 5: Solve for x
    x = 2,312,719,130.94/48,976.60
  6. Step 6: Final answer
    x = 47,220.90

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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.