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Finding the Fourth Proportional to 68,152.88, 102,238.92 and 23,773.16

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Solution

The fourth proportional to 68,152.88, 102,238.92 and 23,773.16 is: 35,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,152.88 : 102,238.92 = 23,773.16 : x
  2. Step 2: Convert to fraction form
    68,152.88/102,238.92 = 23,773.16/x
  3. Step 3: Cross multiply
    68,152.88x = 102,238.92 × 23,773.16
  4. Step 4: Simplify right side
    68,152.88x = 2,430,542,203.39
  5. Step 5: Solve for x
    x = 2,430,542,203.39/68,152.88
  6. Step 6: Final answer
    x = 35,663.09

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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.