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Finding the Fourth Proportional to 64,682, 89,266.29 and 36,389.78

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Solution

The fourth proportional to 64,682, 89,266.29 and 36,389.78 is: 50,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682 : 89,266.29 = 36,389.78 : x
  2. Step 2: Convert to fraction form
    64,682/89,266.29 = 36,389.78/x
  3. Step 3: Cross multiply
    64,682x = 89,266.29 × 36,389.78
  4. Step 4: Simplify right side
    64,682x = 3,248,380,654.52
  5. Step 5: Solve for x
    x = 3,248,380,654.52/64,682
  6. Step 6: Final answer
    x = 50,220.78

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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.