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Finding the Fourth Proportional to 47,656.14, 71,469.42 and 32,959.50

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Solution

The fourth proportional to 47,656.14, 71,469.42 and 32,959.50 is: 49,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.14 : 71,469.42 = 32,959.50 : x
  2. Step 2: Convert to fraction form
    47,656.14/71,469.42 = 32,959.50/x
  3. Step 3: Cross multiply
    47,656.14x = 71,469.42 × 32,959.50
  4. Step 4: Simplify right side
    47,656.14x = 2,355,596,348.49
  5. Step 5: Solve for x
    x = 2,355,596,348.49/47,656.14
  6. Step 6: Final answer
    x = 49,429.02

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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.