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Finding the Fourth Proportional to 52,138.30, 71,992.27 and 48,157.98

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Solution

The fourth proportional to 52,138.30, 71,992.27 and 48,157.98 is: 66,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.30 : 71,992.27 = 48,157.98 : x
  2. Step 2: Convert to fraction form
    52,138.30/71,992.27 = 48,157.98/x
  3. Step 3: Cross multiply
    52,138.30x = 71,992.27 × 48,157.98
  4. Step 4: Simplify right side
    52,138.30x = 3,467,002,298.81
  5. Step 5: Solve for x
    x = 3,467,002,298.81/52,138.30
  6. Step 6: Final answer
    x = 66,496.27

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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.