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Finding the Fourth Proportional to 32,838.56, 49,258.08 and 8,214.56

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Solution

The fourth proportional to 32,838.56, 49,258.08 and 8,214.56 is: 12,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.56 : 49,258.08 = 8,214.56 : x
  2. Step 2: Convert to fraction form
    32,838.56/49,258.08 = 8,214.56/x
  3. Step 3: Cross multiply
    32,838.56x = 49,258.08 × 8,214.56
  4. Step 4: Simplify right side
    32,838.56x = 404,633,453.64
  5. Step 5: Solve for x
    x = 404,633,453.64/32,838.56
  6. Step 6: Final answer
    x = 12,321.90

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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.