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Finding the Fourth Proportional to 33,800.78, 50,700 and 10,426.64

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Solution

The fourth proportional to 33,800.78, 50,700 and 10,426.64 is: 15,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,800.78 : 50,700 = 10,426.64 : x
  2. Step 2: Convert to fraction form
    33,800.78/50,700 = 10,426.64/x
  3. Step 3: Cross multiply
    33,800.78x = 50,700 × 10,426.64
  4. Step 4: Simplify right side
    33,800.78x = 528,630,648
  5. Step 5: Solve for x
    x = 528,630,648/33,800.78
  6. Step 6: Final answer
    x = 15,639.60

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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.