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Finding the Fourth Proportional to 47,509.54, 71,288.90 and 34,469.54

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Solution

The fourth proportional to 47,509.54, 71,288.90 and 34,469.54 is: 51,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.54 : 71,288.90 = 34,469.54 : x
  2. Step 2: Convert to fraction form
    47,509.54/71,288.90 = 34,469.54/x
  3. Step 3: Cross multiply
    47,509.54x = 71,288.90 × 34,469.54
  4. Step 4: Simplify right side
    47,509.54x = 2,457,295,590.11
  5. Step 5: Solve for x
    x = 2,457,295,590.11/47,509.54
  6. Step 6: Final answer
    x = 51,722.15

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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.