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Finding the Fourth Proportional to 97,853.64, 146,846.16 and 35,524.14

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Solution

The fourth proportional to 97,853.64, 146,846.16 and 35,524.14 is: 53,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,853.64 : 146,846.16 = 35,524.14 : x
  2. Step 2: Convert to fraction form
    97,853.64/146,846.16 = 35,524.14/x
  3. Step 3: Cross multiply
    97,853.64x = 146,846.16 × 35,524.14
  4. Step 4: Simplify right side
    97,853.64x = 5,216,583,546.30
  5. Step 5: Solve for x
    x = 5,216,583,546.30/97,853.64
  6. Step 6: Final answer
    x = 53,310.06

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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.