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Finding the Fourth Proportional to 32,772.50, 49,158.94 and 8,148.50

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Solution

The fourth proportional to 32,772.50, 49,158.94 and 8,148.50 is: 12,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.50 : 49,158.94 = 8,148.50 : x
  2. Step 2: Convert to fraction form
    32,772.50/49,158.94 = 8,148.50/x
  3. Step 3: Cross multiply
    32,772.50x = 49,158.94 × 8,148.50
  4. Step 4: Simplify right side
    32,772.50x = 400,571,622.59
  5. Step 5: Solve for x
    x = 400,571,622.59/32,772.50
  6. Step 6: Final answer
    x = 12,222.80

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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.