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Finding the Fourth Proportional to 31,089.42, 46,647.90 and 16,294.80

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Solution

The fourth proportional to 31,089.42, 46,647.90 and 16,294.80 is: 24,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.42 : 46,647.90 = 16,294.80 : x
  2. Step 2: Convert to fraction form
    31,089.42/46,647.90 = 16,294.80/x
  3. Step 3: Cross multiply
    31,089.42x = 46,647.90 × 16,294.80
  4. Step 4: Simplify right side
    31,089.42x = 760,118,375.85
  5. Step 5: Solve for x
    x = 760,118,375.85/31,089.42
  6. Step 6: Final answer
    x = 24,449.42

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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.