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Finding the Fourth Proportional to 68,284.76, 94,233.36 and 38,072

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Solution

The fourth proportional to 68,284.76, 94,233.36 and 38,072 is: 52,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284.76 : 94,233.36 = 38,072 : x
  2. Step 2: Convert to fraction form
    68,284.76/94,233.36 = 38,072/x
  3. Step 3: Cross multiply
    68,284.76x = 94,233.36 × 38,072
  4. Step 4: Simplify right side
    68,284.76x = 3,587,652,481.92
  5. Step 5: Solve for x
    x = 3,587,652,481.92/68,284.76
  6. Step 6: Final answer
    x = 52,539.58

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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.