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Finding the Fourth Proportional to 32,257.62, 48,405.12 and 13,536

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Solution

The fourth proportional to 32,257.62, 48,405.12 and 13,536 is: 20,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.62 : 48,405.12 = 13,536 : x
  2. Step 2: Convert to fraction form
    32,257.62/48,405.12 = 13,536/x
  3. Step 3: Cross multiply
    32,257.62x = 48,405.12 × 13,536
  4. Step 4: Simplify right side
    32,257.62x = 655,211,704.32
  5. Step 5: Solve for x
    x = 655,211,704.32/32,257.62
  6. Step 6: Final answer
    x = 20,311.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.