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Finding the Fourth Proportional to 32,825.69, 49,246.25 and 10,638.98

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Solution

The fourth proportional to 32,825.69, 49,246.25 and 10,638.98 is: 15,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.69 : 49,246.25 = 10,638.98 : x
  2. Step 2: Convert to fraction form
    32,825.69/49,246.25 = 10,638.98/x
  3. Step 3: Cross multiply
    32,825.69x = 49,246.25 × 10,638.98
  4. Step 4: Simplify right side
    32,825.69x = 523,929,569.40
  5. Step 5: Solve for x
    x = 523,929,569.40/32,825.69
  6. Step 6: Final answer
    x = 15,960.96

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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.