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Finding the Fourth Proportional to 65,304.69, 97,993.95 and 27,861.24

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Solution

The fourth proportional to 65,304.69, 97,993.95 and 27,861.24 is: 41,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,304.69 : 97,993.95 = 27,861.24 : x
  2. Step 2: Convert to fraction form
    65,304.69/97,993.95 = 27,861.24/x
  3. Step 3: Cross multiply
    65,304.69x = 97,993.95 × 27,861.24
  4. Step 4: Simplify right side
    65,304.69x = 2,730,232,959.50
  5. Step 5: Solve for x
    x = 2,730,232,959.50/65,304.69
  6. Step 6: Final answer
    x = 41,807.61

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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.