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Finding the Fourth Proportional to 32,197, 48,290.31 and 8,817.97

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Solution

The fourth proportional to 32,197, 48,290.31 and 8,817.97 is: 13,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197 : 48,290.31 = 8,817.97 : x
  2. Step 2: Convert to fraction form
    32,197/48,290.31 = 8,817.97/x
  3. Step 3: Cross multiply
    32,197x = 48,290.31 × 8,817.97
  4. Step 4: Simplify right side
    32,197x = 425,822,504.87
  5. Step 5: Solve for x
    x = 425,822,504.87/32,197
  6. Step 6: Final answer
    x = 13,225.53

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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.