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Finding the Fourth Proportional to 35,933.40, 53,900.10 and 16,250.40

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Solution

The fourth proportional to 35,933.40, 53,900.10 and 16,250.40 is: 24,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933.40 : 53,900.10 = 16,250.40 : x
  2. Step 2: Convert to fraction form
    35,933.40/53,900.10 = 16,250.40/x
  3. Step 3: Cross multiply
    35,933.40x = 53,900.10 × 16,250.40
  4. Step 4: Simplify right side
    35,933.40x = 875,898,185.04
  5. Step 5: Solve for x
    x = 875,898,185.04/35,933.40
  6. Step 6: Final answer
    x = 24,375.60

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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.