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Finding the Fourth Proportional to 35,906.39, 53,884.18 and 12,532.82

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Solution

The fourth proportional to 35,906.39, 53,884.18 and 12,532.82 is: 18,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.39 : 53,884.18 = 12,532.82 : x
  2. Step 2: Convert to fraction form
    35,906.39/53,884.18 = 12,532.82/x
  3. Step 3: Cross multiply
    35,906.39x = 53,884.18 × 12,532.82
  4. Step 4: Simplify right side
    35,906.39x = 675,320,728.79
  5. Step 5: Solve for x
    x = 675,320,728.79/35,906.39
  6. Step 6: Final answer
    x = 18,807.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.