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Finding the Fourth Proportional to 68,098.32, 93,976.20 and 37,884.24

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Solution

The fourth proportional to 68,098.32, 93,976.20 and 37,884.24 is: 52,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098.32 : 93,976.20 = 37,884.24 : x
  2. Step 2: Convert to fraction form
    68,098.32/93,976.20 = 37,884.24/x
  3. Step 3: Cross multiply
    68,098.32x = 93,976.20 × 37,884.24
  4. Step 4: Simplify right side
    68,098.32x = 3,560,216,915.09
  5. Step 5: Solve for x
    x = 3,560,216,915.09/68,098.32
  6. Step 6: Final answer
    x = 52,280.54

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1.5x scale

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.