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Finding the Fourth Proportional to 31,670.19, 43,704.90 and 17,523

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Solution

The fourth proportional to 31,670.19, 43,704.90 and 17,523 is: 24,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.19 : 43,704.90 = 17,523 : x
  2. Step 2: Convert to fraction form
    31,670.19/43,704.90 = 17,523/x
  3. Step 3: Cross multiply
    31,670.19x = 43,704.90 × 17,523
  4. Step 4: Simplify right side
    31,670.19x = 765,840,962.70
  5. Step 5: Solve for x
    x = 765,840,962.70/31,670.19
  6. Step 6: Final answer
    x = 24,181.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.