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Finding the Fourth Proportional to 32,111.10, 48,161.52 and 8,419.14

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Solution

The fourth proportional to 32,111.10, 48,161.52 and 8,419.14 is: 12,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.10 : 48,161.52 = 8,419.14 : x
  2. Step 2: Convert to fraction form
    32,111.10/48,161.52 = 8,419.14/x
  3. Step 3: Cross multiply
    32,111.10x = 48,161.52 × 8,419.14
  4. Step 4: Simplify right side
    32,111.10x = 405,478,579.49
  5. Step 5: Solve for x
    x = 405,478,579.49/32,111.10
  6. Step 6: Final answer
    x = 12,627.36

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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.