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Finding the Fourth Proportional to 35,498.44, 53,250.72 and 10,198.10

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Solution

The fourth proportional to 35,498.44, 53,250.72 and 10,198.10 is: 15,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498.44 : 53,250.72 = 10,198.10 : x
  2. Step 2: Convert to fraction form
    35,498.44/53,250.72 = 10,198.10/x
  3. Step 3: Cross multiply
    35,498.44x = 53,250.72 × 10,198.10
  4. Step 4: Simplify right side
    35,498.44x = 543,056,167.63
  5. Step 5: Solve for x
    x = 543,056,167.63/35,498.44
  6. Step 6: Final answer
    x = 15,298.03

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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.