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Finding the Fourth Proportional to 35,201.90, 52,808 and 10,238.72

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Solution

The fourth proportional to 35,201.90, 52,808 and 10,238.72 is: 15,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201.90 : 52,808 = 10,238.72 : x
  2. Step 2: Convert to fraction form
    35,201.90/52,808 = 10,238.72/x
  3. Step 3: Cross multiply
    35,201.90x = 52,808 × 10,238.72
  4. Step 4: Simplify right side
    35,201.90x = 540,686,325.76
  5. Step 5: Solve for x
    x = 540,686,325.76/35,201.90
  6. Step 6: Final answer
    x = 15,359.58

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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.