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Finding the Fourth Proportional to 65,447.46, 98,171.64 and 27,975.95

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Solution

The fourth proportional to 65,447.46, 98,171.64 and 27,975.95 is: 41,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,447.46 : 98,171.64 = 27,975.95 : x
  2. Step 2: Convert to fraction form
    65,447.46/98,171.64 = 27,975.95/x
  3. Step 3: Cross multiply
    65,447.46x = 98,171.64 × 27,975.95
  4. Step 4: Simplify right side
    65,447.46x = 2,746,444,401.20
  5. Step 5: Solve for x
    x = 2,746,444,401.20/65,447.46
  6. Step 6: Final answer
    x = 41,964.11

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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.