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Finding the Fourth Proportional to 32,297, 48,439.90 and 8,917.16

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Solution

The fourth proportional to 32,297, 48,439.90 and 8,917.16 is: 13,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297 : 48,439.90 = 8,917.16 : x
  2. Step 2: Convert to fraction form
    32,297/48,439.90 = 8,917.16/x
  3. Step 3: Cross multiply
    32,297x = 48,439.90 × 8,917.16
  4. Step 4: Simplify right side
    32,297x = 431,946,338.68
  5. Step 5: Solve for x
    x = 431,946,338.68/32,297
  6. Step 6: Final answer
    x = 13,374.19

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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.