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Finding the Fourth Proportional to 64,524.42, 96,769.32 and 17,766.18

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Solution

The fourth proportional to 64,524.42, 96,769.32 and 17,766.18 is: 26,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524.42 : 96,769.32 = 17,766.18 : x
  2. Step 2: Convert to fraction form
    64,524.42/96,769.32 = 17,766.18/x
  3. Step 3: Cross multiply
    64,524.42x = 96,769.32 × 17,766.18
  4. Step 4: Simplify right side
    64,524.42x = 1,719,221,157.60
  5. Step 5: Solve for x
    x = 1,719,221,157.60/64,524.42
  6. Step 6: Final answer
    x = 26,644.50

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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.