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Finding the Fourth Proportional to 64,716.96, 97,119.70 and 22,597

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Solution

The fourth proportional to 64,716.96, 97,119.70 and 22,597 is: 33,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716.96 : 97,119.70 = 22,597 : x
  2. Step 2: Convert to fraction form
    64,716.96/97,119.70 = 22,597/x
  3. Step 3: Cross multiply
    64,716.96x = 97,119.70 × 22,597
  4. Step 4: Simplify right side
    64,716.96x = 2,194,613,860.90
  5. Step 5: Solve for x
    x = 2,194,613,860.90/64,716.96
  6. Step 6: Final answer
    x = 33,910.95

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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.