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Finding the Fourth Proportional to 64,657.84, 89,224.56 and 36,361.84

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Solution

The fourth proportional to 64,657.84, 89,224.56 and 36,361.84 is: 50,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,657.84 : 89,224.56 = 36,361.84 : x
  2. Step 2: Convert to fraction form
    64,657.84/89,224.56 = 36,361.84/x
  3. Step 3: Cross multiply
    64,657.84x = 89,224.56 × 36,361.84
  4. Step 4: Simplify right side
    64,657.84x = 3,244,369,174.79
  5. Step 5: Solve for x
    x = 3,244,369,174.79/64,657.84
  6. Step 6: Final answer
    x = 50,177.51

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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.