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Finding the Fourth Proportional to 67,827.76, 93,597.24 and 38,014

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Solution

The fourth proportional to 67,827.76, 93,597.24 and 38,014 is: 52,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.76 : 93,597.24 = 38,014 : x
  2. Step 2: Convert to fraction form
    67,827.76/93,597.24 = 38,014/x
  3. Step 3: Cross multiply
    67,827.76x = 93,597.24 × 38,014
  4. Step 4: Simplify right side
    67,827.76x = 3,558,005,481.36
  5. Step 5: Solve for x
    x = 3,558,005,481.36/67,827.76
  6. Step 6: Final answer
    x = 52,456.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.