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Finding the Fourth Proportional to 49,203.96, 73,743.62 and 31,427.80

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Solution

The fourth proportional to 49,203.96, 73,743.62 and 31,427.80 is: 47,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203.96 : 73,743.62 = 31,427.80 : x
  2. Step 2: Convert to fraction form
    49,203.96/73,743.62 = 31,427.80/x
  3. Step 3: Cross multiply
    49,203.96x = 73,743.62 × 31,427.80
  4. Step 4: Simplify right side
    49,203.96x = 2,317,599,399.14
  5. Step 5: Solve for x
    x = 2,317,599,399.14/49,203.96
  6. Step 6: Final answer
    x = 47,101.89

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1.5x scale

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.