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Finding the Fourth Proportional to 53,601.36, 80,404.56 and 44,224

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Solution

The fourth proportional to 53,601.36, 80,404.56 and 44,224 is: 66,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,601.36 : 80,404.56 = 44,224 : x
  2. Step 2: Convert to fraction form
    53,601.36/80,404.56 = 44,224/x
  3. Step 3: Cross multiply
    53,601.36x = 80,404.56 × 44,224
  4. Step 4: Simplify right side
    53,601.36x = 3,555,811,261.44
  5. Step 5: Solve for x
    x = 3,555,811,261.44/53,601.36
  6. Step 6: Final answer
    x = 66,338.08

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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.