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Finding the Fourth Proportional to 68,096, 93,972.52 and 38,288

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Solution

The fourth proportional to 68,096, 93,972.52 and 38,288 is: 52,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096 : 93,972.52 = 38,288 : x
  2. Step 2: Convert to fraction form
    68,096/93,972.52 = 38,288/x
  3. Step 3: Cross multiply
    68,096x = 93,972.52 × 38,288
  4. Step 4: Simplify right side
    68,096x = 3,598,019,845.76
  5. Step 5: Solve for x
    x = 3,598,019,845.76/68,096
  6. Step 6: Final answer
    x = 52,837.46

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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.