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Finding the Fourth Proportional to 53,749.44, 80,624.16 and 44,496

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Solution

The fourth proportional to 53,749.44, 80,624.16 and 44,496 is: 66,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,749.44 : 80,624.16 = 44,496 : x
  2. Step 2: Convert to fraction form
    53,749.44/80,624.16 = 44,496/x
  3. Step 3: Cross multiply
    53,749.44x = 80,624.16 × 44,496
  4. Step 4: Simplify right side
    53,749.44x = 3,587,452,623.36
  5. Step 5: Solve for x
    x = 3,587,452,623.36/53,749.44
  6. Step 6: Final answer
    x = 66,744

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.