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Finding the Fourth Proportional to 32,153.50, 48,230.26 and 13,423.32

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Solution

The fourth proportional to 32,153.50, 48,230.26 and 13,423.32 is: 20,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.50 : 48,230.26 = 13,423.32 : x
  2. Step 2: Convert to fraction form
    32,153.50/48,230.26 = 13,423.32/x
  3. Step 3: Cross multiply
    32,153.50x = 48,230.26 × 13,423.32
  4. Step 4: Simplify right side
    32,153.50x = 647,410,213.66
  5. Step 5: Solve for x
    x = 647,410,213.66/32,153.50
  6. Step 6: Final answer
    x = 20,134.98

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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.