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Finding the Fourth Proportional to 34,509.85, 47,620.30 and 20,173.04

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Solution

The fourth proportional to 34,509.85, 47,620.30 and 20,173.04 is: 27,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.85 : 47,620.30 = 20,173.04 : x
  2. Step 2: Convert to fraction form
    34,509.85/47,620.30 = 20,173.04/x
  3. Step 3: Cross multiply
    34,509.85x = 47,620.30 × 20,173.04
  4. Step 4: Simplify right side
    34,509.85x = 960,646,216.71
  5. Step 5: Solve for x
    x = 960,646,216.71/34,509.85
  6. Step 6: Final answer
    x = 27,836.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.