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Finding the Fourth Proportional to 67,952.18, 93,774.57 and 37,738

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Solution

The fourth proportional to 67,952.18, 93,774.57 and 37,738 is: 52,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,952.18 : 93,774.57 = 37,738 : x
  2. Step 2: Convert to fraction form
    67,952.18/93,774.57 = 37,738/x
  3. Step 3: Cross multiply
    67,952.18x = 93,774.57 × 37,738
  4. Step 4: Simplify right side
    67,952.18x = 3,538,864,722.66
  5. Step 5: Solve for x
    x = 3,538,864,722.66/67,952.18
  6. Step 6: Final answer
    x = 52,078.75

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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.