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Finding the Fourth Proportional to 32,144.90, 48,209.93 and 12,156.53

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Solution

The fourth proportional to 32,144.90, 48,209.93 and 12,156.53 is: 18,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.90 : 48,209.93 = 12,156.53 : x
  2. Step 2: Convert to fraction form
    32,144.90/48,209.93 = 12,156.53/x
  3. Step 3: Cross multiply
    32,144.90x = 48,209.93 × 12,156.53
  4. Step 4: Simplify right side
    32,144.90x = 586,065,399.56
  5. Step 5: Solve for x
    x = 586,065,399.56/32,144.90
  6. Step 6: Final answer
    x = 18,231.99

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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.