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Finding the Fourth Proportional to 68,033.44, 93,885.54 and 37,818

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Solution

The fourth proportional to 68,033.44, 93,885.54 and 37,818 is: 52,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033.44 : 93,885.54 = 37,818 : x
  2. Step 2: Convert to fraction form
    68,033.44/93,885.54 = 37,818/x
  3. Step 3: Cross multiply
    68,033.44x = 93,885.54 × 37,818
  4. Step 4: Simplify right side
    68,033.44x = 3,550,563,351.72
  5. Step 5: Solve for x
    x = 3,550,563,351.72/68,033.44
  6. Step 6: Final answer
    x = 52,188.50

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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.