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Finding the Fourth Proportional to 32,145.36, 48,218.12 and 8,771.76

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Solution

The fourth proportional to 32,145.36, 48,218.12 and 8,771.76 is: 13,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.36 : 48,218.12 = 8,771.76 : x
  2. Step 2: Convert to fraction form
    32,145.36/48,218.12 = 8,771.76/x
  3. Step 3: Cross multiply
    32,145.36x = 48,218.12 × 8,771.76
  4. Step 4: Simplify right side
    32,145.36x = 422,957,776.29
  5. Step 5: Solve for x
    x = 422,957,776.29/32,145.36
  6. Step 6: Final answer
    x = 13,157.66

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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.