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Finding the Fourth Proportional to 32,118.10, 48,173.69 and 8,428.03

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Solution

The fourth proportional to 32,118.10, 48,173.69 and 8,428.03 is: 12,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118.10 : 48,173.69 = 8,428.03 : x
  2. Step 2: Convert to fraction form
    32,118.10/48,173.69 = 8,428.03/x
  3. Step 3: Cross multiply
    32,118.10x = 48,173.69 × 8,428.03
  4. Step 4: Simplify right side
    32,118.10x = 406,009,452.44
  5. Step 5: Solve for x
    x = 406,009,452.44/32,118.10
  6. Step 6: Final answer
    x = 12,641.14

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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.