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Finding the Fourth Proportional to 32,408.60, 48,612.90 and 32,203.80

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Solution

The fourth proportional to 32,408.60, 48,612.90 and 32,203.80 is: 48,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.60 : 48,612.90 = 32,203.80 : x
  2. Step 2: Convert to fraction form
    32,408.60/48,612.90 = 32,203.80/x
  3. Step 3: Cross multiply
    32,408.60x = 48,612.90 × 32,203.80
  4. Step 4: Simplify right side
    32,408.60x = 1,565,520,109.02
  5. Step 5: Solve for x
    x = 1,565,520,109.02/32,408.60
  6. Step 6: Final answer
    x = 48,305.70

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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.