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Finding the Fourth Proportional to 88,576, 122,234.88 and 48,832

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Solution

The fourth proportional to 88,576, 122,234.88 and 48,832 is: 67,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,576 : 122,234.88 = 48,832 : x
  2. Step 2: Convert to fraction form
    88,576/122,234.88 = 48,832/x
  3. Step 3: Cross multiply
    88,576x = 122,234.88 × 48,832
  4. Step 4: Simplify right side
    88,576x = 5,968,973,660.16
  5. Step 5: Solve for x
    x = 5,968,973,660.16/88,576
  6. Step 6: Final answer
    x = 67,388.16

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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.