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Finding the Fourth Proportional to 30,836.96, 46,216.50 and 25,704.80

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Solution

The fourth proportional to 30,836.96, 46,216.50 and 25,704.80 is: 38,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.96 : 46,216.50 = 25,704.80 : x
  2. Step 2: Convert to fraction form
    30,836.96/46,216.50 = 25,704.80/x
  3. Step 3: Cross multiply
    30,836.96x = 46,216.50 × 25,704.80
  4. Step 4: Simplify right side
    30,836.96x = 1,187,985,889.20
  5. Step 5: Solve for x
    x = 1,187,985,889.20/30,836.96
  6. Step 6: Final answer
    x = 38,524.74

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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.