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Finding the Fourth Proportional to 35,616.92, 53,428.46 and 9,321.64

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Solution

The fourth proportional to 35,616.92, 53,428.46 and 9,321.64 is: 13,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,616.92 : 53,428.46 = 9,321.64 : x
  2. Step 2: Convert to fraction form
    35,616.92/53,428.46 = 9,321.64/x
  3. Step 3: Cross multiply
    35,616.92x = 53,428.46 × 9,321.64
  4. Step 4: Simplify right side
    35,616.92x = 498,040,869.87
  5. Step 5: Solve for x
    x = 498,040,869.87/35,616.92
  6. Step 6: Final answer
    x = 13,983.27

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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.