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Finding the Fourth Proportional to 32,794.92, 49,202.82 and 13,829.64

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Solution

The fourth proportional to 32,794.92, 49,202.82 and 13,829.64 is: 20,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.92 : 49,202.82 = 13,829.64 : x
  2. Step 2: Convert to fraction form
    32,794.92/49,202.82 = 13,829.64/x
  3. Step 3: Cross multiply
    32,794.92x = 49,202.82 × 13,829.64
  4. Step 4: Simplify right side
    32,794.92x = 680,457,287.58
  5. Step 5: Solve for x
    x = 680,457,287.58/32,794.92
  6. Step 6: Final answer
    x = 20,748.86

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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.