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Finding the Fourth Proportional to 32,896.89, 49,527.34 and 22,576.41

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Solution

The fourth proportional to 32,896.89, 49,527.34 and 22,576.41 is: 33,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.89 : 49,527.34 = 22,576.41 : x
  2. Step 2: Convert to fraction form
    32,896.89/49,527.34 = 22,576.41/x
  3. Step 3: Cross multiply
    32,896.89x = 49,527.34 × 22,576.41
  4. Step 4: Simplify right side
    32,896.89x = 1,118,149,477.61
  5. Step 5: Solve for x
    x = 1,118,149,477.61/32,896.89
  6. Step 6: Final answer
    x = 33,989.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.