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Finding the Fourth Proportional to 35,687.44, 53,529 and 9,392.14

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Solution

The fourth proportional to 35,687.44, 53,529 and 9,392.14 is: 14,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.44 : 53,529 = 9,392.14 : x
  2. Step 2: Convert to fraction form
    35,687.44/53,529 = 9,392.14/x
  3. Step 3: Cross multiply
    35,687.44x = 53,529 × 9,392.14
  4. Step 4: Simplify right side
    35,687.44x = 502,751,862.06
  5. Step 5: Solve for x
    x = 502,751,862.06/35,687.44
  6. Step 6: Final answer
    x = 14,087.64

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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.