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Finding the Fourth Proportional to 35,119.80, 52,606.10 and 16,415.80

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Solution

The fourth proportional to 35,119.80, 52,606.10 and 16,415.80 is: 24,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,119.80 : 52,606.10 = 16,415.80 : x
  2. Step 2: Convert to fraction form
    35,119.80/52,606.10 = 16,415.80/x
  3. Step 3: Cross multiply
    35,119.80x = 52,606.10 × 16,415.80
  4. Step 4: Simplify right side
    35,119.80x = 863,571,216.38
  5. Step 5: Solve for x
    x = 863,571,216.38/35,119.80
  6. Step 6: Final answer
    x = 24,589.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.