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Finding the Fourth Proportional to 32,783.24, 49,103.78 and 20,306.40

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Solution

The fourth proportional to 32,783.24, 49,103.78 and 20,306.40 is: 30,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.24 : 49,103.78 = 20,306.40 : x
  2. Step 2: Convert to fraction form
    32,783.24/49,103.78 = 20,306.40/x
  3. Step 3: Cross multiply
    32,783.24x = 49,103.78 × 20,306.40
  4. Step 4: Simplify right side
    32,783.24x = 997,120,896.66
  5. Step 5: Solve for x
    x = 997,120,896.66/32,783.24
  6. Step 6: Final answer
    x = 30,415.57

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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.