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Finding the Fourth Proportional to 47,861, 71,794.38 and 15,029

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Solution

The fourth proportional to 47,861, 71,794.38 and 15,029 is: 22,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,861 : 71,794.38 = 15,029 : x
  2. Step 2: Convert to fraction form
    47,861/71,794.38 = 15,029/x
  3. Step 3: Cross multiply
    47,861x = 71,794.38 × 15,029
  4. Step 4: Simplify right side
    47,861x = 1,078,997,737.02
  5. Step 5: Solve for x
    x = 1,078,997,737.02/47,861
  6. Step 6: Final answer
    x = 22,544.40

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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.