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Finding the Fourth Proportional to 32,532.60, 48,806.09 and 13,828.62

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Solution

The fourth proportional to 32,532.60, 48,806.09 and 13,828.62 is: 20,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.60 : 48,806.09 = 13,828.62 : x
  2. Step 2: Convert to fraction form
    32,532.60/48,806.09 = 13,828.62/x
  3. Step 3: Cross multiply
    32,532.60x = 48,806.09 × 13,828.62
  4. Step 4: Simplify right side
    32,532.60x = 674,921,115.82
  5. Step 5: Solve for x
    x = 674,921,115.82/32,532.60
  6. Step 6: Final answer
    x = 20,745.99

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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.