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Finding the Fourth Proportional to 32,408.10, 48,612.15 and 31,679.10

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Solution

The fourth proportional to 32,408.10, 48,612.15 and 31,679.10 is: 47,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.10 : 48,612.15 = 31,679.10 : x
  2. Step 2: Convert to fraction form
    32,408.10/48,612.15 = 31,679.10/x
  3. Step 3: Cross multiply
    32,408.10x = 48,612.15 × 31,679.10
  4. Step 4: Simplify right side
    32,408.10x = 1,539,989,161.07
  5. Step 5: Solve for x
    x = 1,539,989,161.07/32,408.10
  6. Step 6: Final answer
    x = 47,518.65

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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.