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Finding the Fourth Proportional to 70,827.87, 106,217.04 and 20,894.71

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Solution

The fourth proportional to 70,827.87, 106,217.04 and 20,894.71 is: 31,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827.87 : 106,217.04 = 20,894.71 : x
  2. Step 2: Convert to fraction form
    70,827.87/106,217.04 = 20,894.71/x
  3. Step 3: Cross multiply
    70,827.87x = 106,217.04 × 20,894.71
  4. Step 4: Simplify right side
    70,827.87x = 2,219,374,247.86
  5. Step 5: Solve for x
    x = 2,219,374,247.86/70,827.87
  6. Step 6: Final answer
    x = 31,334.76

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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.