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Finding the Fourth Proportional to 33,109.60, 49,664.40 and 8,485.60

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Solution

The fourth proportional to 33,109.60, 49,664.40 and 8,485.60 is: 12,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.60 : 49,664.40 = 8,485.60 : x
  2. Step 2: Convert to fraction form
    33,109.60/49,664.40 = 8,485.60/x
  3. Step 3: Cross multiply
    33,109.60x = 49,664.40 × 8,485.60
  4. Step 4: Simplify right side
    33,109.60x = 421,432,232.64
  5. Step 5: Solve for x
    x = 421,432,232.64/33,109.60
  6. Step 6: Final answer
    x = 12,728.40

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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.