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Finding the Fourth Proportional to 31,776.84, 47,613.42 and 16,173

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Solution

The fourth proportional to 31,776.84, 47,613.42 and 16,173 is: 24,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.84 : 47,613.42 = 16,173 : x
  2. Step 2: Convert to fraction form
    31,776.84/47,613.42 = 16,173/x
  3. Step 3: Cross multiply
    31,776.84x = 47,613.42 × 16,173
  4. Step 4: Simplify right side
    31,776.84x = 770,051,841.66
  5. Step 5: Solve for x
    x = 770,051,841.66/31,776.84
  6. Step 6: Final answer
    x = 24,233.12

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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.