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Finding the Fourth Proportional to 64,178.46, 96,243.72 and 22,046.58

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Solution

The fourth proportional to 64,178.46, 96,243.72 and 22,046.58 is: 33,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,178.46 : 96,243.72 = 22,046.58 : x
  2. Step 2: Convert to fraction form
    64,178.46/96,243.72 = 22,046.58/x
  3. Step 3: Cross multiply
    64,178.46x = 96,243.72 × 22,046.58
  4. Step 4: Simplify right side
    64,178.46x = 2,121,844,872.48
  5. Step 5: Solve for x
    x = 2,121,844,872.48/64,178.46
  6. Step 6: Final answer
    x = 33,061.64

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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.