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Finding the Fourth Proportional to 75,340.56, 103,984.32 and 49,847.44

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Solution

The fourth proportional to 75,340.56, 103,984.32 and 49,847.44 is: 68,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.56 : 103,984.32 = 49,847.44 : x
  2. Step 2: Convert to fraction form
    75,340.56/103,984.32 = 49,847.44/x
  3. Step 3: Cross multiply
    75,340.56x = 103,984.32 × 49,847.44
  4. Step 4: Simplify right side
    75,340.56x = 5,183,352,152.14
  5. Step 5: Solve for x
    x = 5,183,352,152.14/75,340.56
  6. Step 6: Final answer
    x = 68,798.96

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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.