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Finding the Fourth Proportional to 32,196.50, 48,289.56 and 8,817.48

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Solution

The fourth proportional to 32,196.50, 48,289.56 and 8,817.48 is: 13,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.50 : 48,289.56 = 8,817.48 : x
  2. Step 2: Convert to fraction form
    32,196.50/48,289.56 = 8,817.48/x
  3. Step 3: Cross multiply
    32,196.50x = 48,289.56 × 8,817.48
  4. Step 4: Simplify right side
    32,196.50x = 425,792,229.51
  5. Step 5: Solve for x
    x = 425,792,229.51/32,196.50
  6. Step 6: Final answer
    x = 13,224.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.