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Finding the Fourth Proportional to 64,282.50, 88,709.88 and 35,988.78

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Solution

The fourth proportional to 64,282.50, 88,709.88 and 35,988.78 is: 49,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282.50 : 88,709.88 = 35,988.78 : x
  2. Step 2: Convert to fraction form
    64,282.50/88,709.88 = 35,988.78/x
  3. Step 3: Cross multiply
    64,282.50x = 88,709.88 × 35,988.78
  4. Step 4: Simplify right side
    64,282.50x = 3,192,560,355.15
  5. Step 5: Solve for x
    x = 3,192,560,355.15/64,282.50
  6. Step 6: Final answer
    x = 49,664.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.