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Finding the Fourth Proportional to 47,238.50, 70,832.10 and 23,493.90

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Solution

The fourth proportional to 47,238.50, 70,832.10 and 23,493.90 is: 35,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238.50 : 70,832.10 = 23,493.90 : x
  2. Step 2: Convert to fraction form
    47,238.50/70,832.10 = 23,493.90/x
  3. Step 3: Cross multiply
    47,238.50x = 70,832.10 × 23,493.90
  4. Step 4: Simplify right side
    47,238.50x = 1,664,122,274.19
  5. Step 5: Solve for x
    x = 1,664,122,274.19/47,238.50
  6. Step 6: Final answer
    x = 35,228.09

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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.