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Finding the Fourth Proportional to 35,164.71, 52,745.44 and 10,204.25

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Solution

The fourth proportional to 35,164.71, 52,745.44 and 10,204.25 is: 15,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,164.71 : 52,745.44 = 10,204.25 : x
  2. Step 2: Convert to fraction form
    35,164.71/52,745.44 = 10,204.25/x
  3. Step 3: Cross multiply
    35,164.71x = 52,745.44 × 10,204.25
  4. Step 4: Simplify right side
    35,164.71x = 538,227,656.12
  5. Step 5: Solve for x
    x = 538,227,656.12/35,164.71
  6. Step 6: Final answer
    x = 15,305.90

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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.