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Finding the Fourth Proportional to 32,500.44, 48,733.04 and 14,954.63

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Solution

The fourth proportional to 32,500.44, 48,733.04 and 14,954.63 is: 22,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.44 : 48,733.04 = 14,954.63 : x
  2. Step 2: Convert to fraction form
    32,500.44/48,733.04 = 14,954.63/x
  3. Step 3: Cross multiply
    32,500.44x = 48,733.04 × 14,954.63
  4. Step 4: Simplify right side
    32,500.44x = 728,784,375.70
  5. Step 5: Solve for x
    x = 728,784,375.70/32,500.44
  6. Step 6: Final answer
    x = 22,423.83

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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.