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Finding the Fourth Proportional to 32,039.39, 48,058.97 and 8,665.82

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Solution

The fourth proportional to 32,039.39, 48,058.97 and 8,665.82 is: 12,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.39 : 48,058.97 = 8,665.82 : x
  2. Step 2: Convert to fraction form
    32,039.39/48,058.97 = 8,665.82/x
  3. Step 3: Cross multiply
    32,039.39x = 48,058.97 × 8,665.82
  4. Step 4: Simplify right side
    32,039.39x = 416,470,383.41
  5. Step 5: Solve for x
    x = 416,470,383.41/32,039.39
  6. Step 6: Final answer
    x = 12,998.70

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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.