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Finding the Fourth Proportional to 32,408.02, 48,614.37 and 11,345.68

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Solution

The fourth proportional to 32,408.02, 48,614.37 and 11,345.68 is: 17,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.02 : 48,614.37 = 11,345.68 : x
  2. Step 2: Convert to fraction form
    32,408.02/48,614.37 = 11,345.68/x
  3. Step 3: Cross multiply
    32,408.02x = 48,614.37 × 11,345.68
  4. Step 4: Simplify right side
    32,408.02x = 551,563,085.42
  5. Step 5: Solve for x
    x = 551,563,085.42/32,408.02
  6. Step 6: Final answer
    x = 17,019.34

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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.