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Finding the Fourth Proportional to 35,950.90, 53,932.30 and 16,229.02

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Solution

The fourth proportional to 35,950.90, 53,932.30 and 16,229.02 is: 24,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,950.90 : 53,932.30 = 16,229.02 : x
  2. Step 2: Convert to fraction form
    35,950.90/53,932.30 = 16,229.02/x
  3. Step 3: Cross multiply
    35,950.90x = 53,932.30 × 16,229.02
  4. Step 4: Simplify right side
    35,950.90x = 875,268,375.35
  5. Step 5: Solve for x
    x = 875,268,375.35/35,950.90
  6. Step 6: Final answer
    x = 24,346.22

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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.