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Finding the Fourth Proportional to 65,147.88, 89,908.06 and 36,467

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Solution

The fourth proportional to 65,147.88, 89,908.06 and 36,467 is: 50,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147.88 : 89,908.06 = 36,467 : x
  2. Step 2: Convert to fraction form
    65,147.88/89,908.06 = 36,467/x
  3. Step 3: Cross multiply
    65,147.88x = 89,908.06 × 36,467
  4. Step 4: Simplify right side
    65,147.88x = 3,278,677,224.02
  5. Step 5: Solve for x
    x = 3,278,677,224.02/65,147.88
  6. Step 6: Final answer
    x = 50,326.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.