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Finding the Fourth Proportional to 32,049.08, 48,008.34 and 26,147

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Solution

The fourth proportional to 32,049.08, 48,008.34 and 26,147 is: 39,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.08 : 48,008.34 = 26,147 : x
  2. Step 2: Convert to fraction form
    32,049.08/48,008.34 = 26,147/x
  3. Step 3: Cross multiply
    32,049.08x = 48,008.34 × 26,147
  4. Step 4: Simplify right side
    32,049.08x = 1,255,274,065.98
  5. Step 5: Solve for x
    x = 1,255,274,065.98/32,049.08
  6. Step 6: Final answer
    x = 39,167.24

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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.