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Finding the Fourth Proportional to 70,919.75, 106,403.93 and 24,205.43

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Solution

The fourth proportional to 70,919.75, 106,403.93 and 24,205.43 is: 36,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,919.75 : 106,403.93 = 24,205.43 : x
  2. Step 2: Convert to fraction form
    70,919.75/106,403.93 = 24,205.43/x
  3. Step 3: Cross multiply
    70,919.75x = 106,403.93 × 24,205.43
  4. Step 4: Simplify right side
    70,919.75x = 2,575,553,115.09
  5. Step 5: Solve for x
    x = 2,575,553,115.09/70,919.75
  6. Step 6: Final answer
    x = 36,316.44

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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.