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Finding the Fourth Proportional to 32,461.28, 48,698.24 and 12,469.31

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Solution

The fourth proportional to 32,461.28, 48,698.24 and 12,469.31 is: 18,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.28 : 48,698.24 = 12,469.31 : x
  2. Step 2: Convert to fraction form
    32,461.28/48,698.24 = 12,469.31/x
  3. Step 3: Cross multiply
    32,461.28x = 48,698.24 × 12,469.31
  4. Step 4: Simplify right side
    32,461.28x = 607,233,510.41
  5. Step 5: Solve for x
    x = 607,233,510.41/32,461.28
  6. Step 6: Final answer
    x = 18,706.39

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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.