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Finding the Fourth Proportional to 64,864.50, 97,309.55 and 20,497.78

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Solution

The fourth proportional to 64,864.50, 97,309.55 and 20,497.78 is: 30,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864.50 : 97,309.55 = 20,497.78 : x
  2. Step 2: Convert to fraction form
    64,864.50/97,309.55 = 20,497.78/x
  3. Step 3: Cross multiply
    64,864.50x = 97,309.55 × 20,497.78
  4. Step 4: Simplify right side
    64,864.50x = 1,994,629,747.80
  5. Step 5: Solve for x
    x = 1,994,629,747.80/64,864.50
  6. Step 6: Final answer
    x = 30,750.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.