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Finding the Fourth Proportional to 67,824, 93,597.12 and 38,016

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Solution

The fourth proportional to 67,824, 93,597.12 and 38,016 is: 52,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 93,597.12 = 38,016 : x
  2. Step 2: Convert to fraction form
    67,824/93,597.12 = 38,016/x
  3. Step 3: Cross multiply
    67,824x = 93,597.12 × 38,016
  4. Step 4: Simplify right side
    67,824x = 3,558,188,113.92
  5. Step 5: Solve for x
    x = 3,558,188,113.92/67,824
  6. Step 6: Final answer
    x = 52,462.08

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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.