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Finding the Fourth Proportional to 33,705.60, 50,565.60 and 10,334.40

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Solution

The fourth proportional to 33,705.60, 50,565.60 and 10,334.40 is: 15,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,705.60 : 50,565.60 = 10,334.40 : x
  2. Step 2: Convert to fraction form
    33,705.60/50,565.60 = 10,334.40/x
  3. Step 3: Cross multiply
    33,705.60x = 50,565.60 × 10,334.40
  4. Step 4: Simplify right side
    33,705.60x = 522,565,136.64
  5. Step 5: Solve for x
    x = 522,565,136.64/33,705.60
  6. Step 6: Final answer
    x = 15,503.81

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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.