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Finding the Fourth Proportional to 35,453.09, 53,179.03 and 10,493

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Solution

The fourth proportional to 35,453.09, 53,179.03 and 10,493 is: 15,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,453.09 : 53,179.03 = 10,493 : x
  2. Step 2: Convert to fraction form
    35,453.09/53,179.03 = 10,493/x
  3. Step 3: Cross multiply
    35,453.09x = 53,179.03 × 10,493
  4. Step 4: Simplify right side
    35,453.09x = 558,007,561.79
  5. Step 5: Solve for x
    x = 558,007,561.79/35,453.09
  6. Step 6: Final answer
    x = 15,739.32

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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.