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Finding the Fourth Proportional to 32,145.44, 48,177.12 and 27,968

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Solution

The fourth proportional to 32,145.44, 48,177.12 and 27,968 is: 41,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.44 : 48,177.12 = 27,968 : x
  2. Step 2: Convert to fraction form
    32,145.44/48,177.12 = 27,968/x
  3. Step 3: Cross multiply
    32,145.44x = 48,177.12 × 27,968
  4. Step 4: Simplify right side
    32,145.44x = 1,347,417,692.16
  5. Step 5: Solve for x
    x = 1,347,417,692.16/32,145.44
  6. Step 6: Final answer
    x = 41,916.29

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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.