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Finding the Fourth Proportional to 50,652, 75,785.25 and 30,587.64

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Solution

The fourth proportional to 50,652, 75,785.25 and 30,587.64 is: 45,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652 : 75,785.25 = 30,587.64 : x
  2. Step 2: Convert to fraction form
    50,652/75,785.25 = 30,587.64/x
  3. Step 3: Cross multiply
    50,652x = 75,785.25 × 30,587.64
  4. Step 4: Simplify right side
    50,652x = 2,318,091,944.31
  5. Step 5: Solve for x
    x = 2,318,091,944.31/50,652
  6. Step 6: Final answer
    x = 45,765.06

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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.