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Finding the Fourth Proportional to 35,832, 53,754.75 and 17,113.44

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Solution

The fourth proportional to 35,832, 53,754.75 and 17,113.44 is: 25,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832 : 53,754.75 = 17,113.44 : x
  2. Step 2: Convert to fraction form
    35,832/53,754.75 = 17,113.44/x
  3. Step 3: Cross multiply
    35,832x = 53,754.75 × 17,113.44
  4. Step 4: Simplify right side
    35,832x = 919,928,688.84
  5. Step 5: Solve for x
    x = 919,928,688.84/35,832
  6. Step 6: Final answer
    x = 25,673.38

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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.