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Finding the Fourth Proportional to 47,057.96, 70,595.69 and 15,469.79

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Solution

The fourth proportional to 47,057.96, 70,595.69 and 15,469.79 is: 23,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,057.96 : 70,595.69 = 15,469.79 : x
  2. Step 2: Convert to fraction form
    47,057.96/70,595.69 = 15,469.79/x
  3. Step 3: Cross multiply
    47,057.96x = 70,595.69 × 15,469.79
  4. Step 4: Simplify right side
    47,057.96x = 1,092,100,068.88
  5. Step 5: Solve for x
    x = 1,092,100,068.88/47,057.96
  6. Step 6: Final answer
    x = 23,207.55

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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.