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Finding the Fourth Proportional to 47,509.32, 71,288.76 and 34,469.28

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Solution

The fourth proportional to 47,509.32, 71,288.76 and 34,469.28 is: 51,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.32 : 71,288.76 = 34,469.28 : x
  2. Step 2: Convert to fraction form
    47,509.32/71,288.76 = 34,469.28/x
  3. Step 3: Cross multiply
    47,509.32x = 71,288.76 × 34,469.28
  4. Step 4: Simplify right side
    47,509.32x = 2,457,272,229.29
  5. Step 5: Solve for x
    x = 2,457,272,229.29/47,509.32
  6. Step 6: Final answer
    x = 51,721.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.