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Finding the Fourth Proportional to 33,978.40, 50,924.40 and 16,410.40

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Solution

The fourth proportional to 33,978.40, 50,924.40 and 16,410.40 is: 24,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.40 : 50,924.40 = 16,410.40 : x
  2. Step 2: Convert to fraction form
    33,978.40/50,924.40 = 16,410.40/x
  3. Step 3: Cross multiply
    33,978.40x = 50,924.40 × 16,410.40
  4. Step 4: Simplify right side
    33,978.40x = 835,689,773.76
  5. Step 5: Solve for x
    x = 835,689,773.76/33,978.40
  6. Step 6: Final answer
    x = 24,594.74

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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.