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Finding the Fourth Proportional to 70,946.91, 106,372.70 and 28,224.04

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Solution

The fourth proportional to 70,946.91, 106,372.70 and 28,224.04 is: 42,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.91 : 106,372.70 = 28,224.04 : x
  2. Step 2: Convert to fraction form
    70,946.91/106,372.70 = 28,224.04/x
  3. Step 3: Cross multiply
    70,946.91x = 106,372.70 × 28,224.04
  4. Step 4: Simplify right side
    70,946.91x = 3,002,267,339.71
  5. Step 5: Solve for x
    x = 3,002,267,339.71/70,946.91
  6. Step 6: Final answer
    x = 42,317.10

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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.