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Finding the Fourth Proportional to 32,201, 48,305.64 and 11,424.68

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Solution

The fourth proportional to 32,201, 48,305.64 and 11,424.68 is: 17,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201 : 48,305.64 = 11,424.68 : x
  2. Step 2: Convert to fraction form
    32,201/48,305.64 = 11,424.68/x
  3. Step 3: Cross multiply
    32,201x = 48,305.64 × 11,424.68
  4. Step 4: Simplify right side
    32,201x = 551,876,479.20
  5. Step 5: Solve for x
    x = 551,876,479.20/32,201
  6. Step 6: Final answer
    x = 17,138.49

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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.