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Finding the Fourth Proportional to 33,716.64, 50,582.64 and 10,346.40

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Solution

The fourth proportional to 33,716.64, 50,582.64 and 10,346.40 is: 15,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716.64 : 50,582.64 = 10,346.40 : x
  2. Step 2: Convert to fraction form
    33,716.64/50,582.64 = 10,346.40/x
  3. Step 3: Cross multiply
    33,716.64x = 50,582.64 × 10,346.40
  4. Step 4: Simplify right side
    33,716.64x = 523,348,226.50
  5. Step 5: Solve for x
    x = 523,348,226.50/33,716.64
  6. Step 6: Final answer
    x = 15,521.96

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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.