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Finding the Fourth Proportional to 35,168.61, 52,760.61 and 10,209

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Solution

The fourth proportional to 35,168.61, 52,760.61 and 10,209 is: 15,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,168.61 : 52,760.61 = 10,209 : x
  2. Step 2: Convert to fraction form
    35,168.61/52,760.61 = 10,209/x
  3. Step 3: Cross multiply
    35,168.61x = 52,760.61 × 10,209
  4. Step 4: Simplify right side
    35,168.61x = 538,633,067.49
  5. Step 5: Solve for x
    x = 538,633,067.49/35,168.61
  6. Step 6: Final answer
    x = 15,315.73

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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.