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Finding the Fourth Proportional to 68,283.76, 94,231.98 and 38,071

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Solution

The fourth proportional to 68,283.76, 94,231.98 and 38,071 is: 52,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,283.76 : 94,231.98 = 38,071 : x
  2. Step 2: Convert to fraction form
    68,283.76/94,231.98 = 38,071/x
  3. Step 3: Cross multiply
    68,283.76x = 94,231.98 × 38,071
  4. Step 4: Simplify right side
    68,283.76x = 3,587,505,710.58
  5. Step 5: Solve for x
    x = 3,587,505,710.58/68,283.76
  6. Step 6: Final answer
    x = 52,538.20

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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.