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Finding the Fourth Proportional to 65,311.36, 97,952.16 and 18,552.64

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Solution

The fourth proportional to 65,311.36, 97,952.16 and 18,552.64 is: 27,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,311.36 : 97,952.16 = 18,552.64 : x
  2. Step 2: Convert to fraction form
    65,311.36/97,952.16 = 18,552.64/x
  3. Step 3: Cross multiply
    65,311.36x = 97,952.16 × 18,552.64
  4. Step 4: Simplify right side
    65,311.36x = 1,817,271,161.70
  5. Step 5: Solve for x
    x = 1,817,271,161.70/65,311.36
  6. Step 6: Final answer
    x = 27,824.73

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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.