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Finding the Fourth Proportional to 32,811.62, 49,225.25 and 10,625

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Solution

The fourth proportional to 32,811.62, 49,225.25 and 10,625 is: 15,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.62 : 49,225.25 = 10,625 : x
  2. Step 2: Convert to fraction form
    32,811.62/49,225.25 = 10,625/x
  3. Step 3: Cross multiply
    32,811.62x = 49,225.25 × 10,625
  4. Step 4: Simplify right side
    32,811.62x = 523,018,281.25
  5. Step 5: Solve for x
    x = 523,018,281.25/32,811.62
  6. Step 6: Final answer
    x = 15,940.03

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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.