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Finding the Fourth Proportional to 35,935.92, 53,896.62 and 9,634.56

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Solution

The fourth proportional to 35,935.92, 53,896.62 and 9,634.56 is: 14,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935.92 : 53,896.62 = 9,634.56 : x
  2. Step 2: Convert to fraction form
    35,935.92/53,896.62 = 9,634.56/x
  3. Step 3: Cross multiply
    35,935.92x = 53,896.62 × 9,634.56
  4. Step 4: Simplify right side
    35,935.92x = 519,270,219.19
  5. Step 5: Solve for x
    x = 519,270,219.19/35,935.92
  6. Step 6: Final answer
    x = 14,449.89

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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.