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Finding the Fourth Proportional to 68,724.64, 103,086.96 and 31,783.84

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Solution

The fourth proportional to 68,724.64, 103,086.96 and 31,783.84 is: 47,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,724.64 : 103,086.96 = 31,783.84 : x
  2. Step 2: Convert to fraction form
    68,724.64/103,086.96 = 31,783.84/x
  3. Step 3: Cross multiply
    68,724.64x = 103,086.96 × 31,783.84
  4. Step 4: Simplify right side
    68,724.64x = 3,276,499,442.73
  5. Step 5: Solve for x
    x = 3,276,499,442.73/68,724.64
  6. Step 6: Final answer
    x = 47,675.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.