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Finding the Fourth Proportional to 49,091.60, 73,723.80 and 47,536.40

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Solution

The fourth proportional to 49,091.60, 73,723.80 and 47,536.40 is: 71,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,091.60 : 73,723.80 = 47,536.40 : x
  2. Step 2: Convert to fraction form
    49,091.60/73,723.80 = 47,536.40/x
  3. Step 3: Cross multiply
    49,091.60x = 73,723.80 × 47,536.40
  4. Step 4: Simplify right side
    49,091.60x = 3,504,564,046.32
  5. Step 5: Solve for x
    x = 3,504,564,046.32/49,091.60
  6. Step 6: Final answer
    x = 71,388.26

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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.