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Finding the Fourth Proportional to 47,115.70, 70,683.96 and 15,524.48

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Solution

The fourth proportional to 47,115.70, 70,683.96 and 15,524.48 is: 23,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.70 : 70,683.96 = 15,524.48 : x
  2. Step 2: Convert to fraction form
    47,115.70/70,683.96 = 15,524.48/x
  3. Step 3: Cross multiply
    47,115.70x = 70,683.96 × 15,524.48
  4. Step 4: Simplify right side
    47,115.70x = 1,097,331,900.05
  5. Step 5: Solve for x
    x = 1,097,331,900.05/47,115.70
  6. Step 6: Final answer
    x = 23,290.16

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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.