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Finding the Fourth Proportional to 32,811.96, 49,222.78 and 12,817.50

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Solution

The fourth proportional to 32,811.96, 49,222.78 and 12,817.50 is: 19,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.96 : 49,222.78 = 12,817.50 : x
  2. Step 2: Convert to fraction form
    32,811.96/49,222.78 = 12,817.50/x
  3. Step 3: Cross multiply
    32,811.96x = 49,222.78 × 12,817.50
  4. Step 4: Simplify right side
    32,811.96x = 630,912,982.65
  5. Step 5: Solve for x
    x = 630,912,982.65/32,811.96
  6. Step 6: Final answer
    x = 19,228.14

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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.