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Finding the Fourth Proportional to 47,319.10, 70,964.04 and 15,722.44

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Solution

The fourth proportional to 47,319.10, 70,964.04 and 15,722.44 is: 23,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319.10 : 70,964.04 = 15,722.44 : x
  2. Step 2: Convert to fraction form
    47,319.10/70,964.04 = 15,722.44/x
  3. Step 3: Cross multiply
    47,319.10x = 70,964.04 × 15,722.44
  4. Step 4: Simplify right side
    47,319.10x = 1,115,727,861.06
  5. Step 5: Solve for x
    x = 1,115,727,861.06/47,319.10
  6. Step 6: Final answer
    x = 23,578.81

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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.