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Finding the Fourth Proportional to 32,295.44, 48,445.97 and 8,921.90

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Solution

The fourth proportional to 32,295.44, 48,445.97 and 8,921.90 is: 13,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.44 : 48,445.97 = 8,921.90 : x
  2. Step 2: Convert to fraction form
    32,295.44/48,445.97 = 8,921.90/x
  3. Step 3: Cross multiply
    32,295.44x = 48,445.97 × 8,921.90
  4. Step 4: Simplify right side
    32,295.44x = 432,229,812.90
  5. Step 5: Solve for x
    x = 432,229,812.90/32,295.44
  6. Step 6: Final answer
    x = 13,383.62

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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.