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Finding the Fourth Proportional to 32,847.70, 49,283.70 and 10,661.80

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Solution

The fourth proportional to 32,847.70, 49,283.70 and 10,661.80 is: 15,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.70 : 49,283.70 = 10,661.80 : x
  2. Step 2: Convert to fraction form
    32,847.70/49,283.70 = 10,661.80/x
  3. Step 3: Cross multiply
    32,847.70x = 49,283.70 × 10,661.80
  4. Step 4: Simplify right side
    32,847.70x = 525,452,952.66
  5. Step 5: Solve for x
    x = 525,452,952.66/32,847.70
  6. Step 6: Final answer
    x = 15,996.64

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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.