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Finding the Fourth Proportional to 64,207.60, 96,311.40 and 16,822.60

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Solution

The fourth proportional to 64,207.60, 96,311.40 and 16,822.60 is: 25,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,207.60 : 96,311.40 = 16,822.60 : x
  2. Step 2: Convert to fraction form
    64,207.60/96,311.40 = 16,822.60/x
  3. Step 3: Cross multiply
    64,207.60x = 96,311.40 × 16,822.60
  4. Step 4: Simplify right side
    64,207.60x = 1,620,208,157.64
  5. Step 5: Solve for x
    x = 1,620,208,157.64/64,207.60
  6. Step 6: Final answer
    x = 25,233.90

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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.