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Finding the Fourth Proportional to 35,451.68, 53,182.38 and 15,729.80

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Solution

The fourth proportional to 35,451.68, 53,182.38 and 15,729.80 is: 23,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,451.68 : 53,182.38 = 15,729.80 : x
  2. Step 2: Convert to fraction form
    35,451.68/53,182.38 = 15,729.80/x
  3. Step 3: Cross multiply
    35,451.68x = 53,182.38 × 15,729.80
  4. Step 4: Simplify right side
    35,451.68x = 836,548,200.92
  5. Step 5: Solve for x
    x = 836,548,200.92/35,451.68
  6. Step 6: Final answer
    x = 23,596.86

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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.