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Finding the Fourth Proportional to 31,653, 43,682.51 and 17,505.86

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Solution

The fourth proportional to 31,653, 43,682.51 and 17,505.86 is: 24,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653 : 43,682.51 = 17,505.86 : x
  2. Step 2: Convert to fraction form
    31,653/43,682.51 = 17,505.86/x
  3. Step 3: Cross multiply
    31,653x = 43,682.51 × 17,505.86
  4. Step 4: Simplify right side
    31,653x = 764,699,729.86
  5. Step 5: Solve for x
    x = 764,699,729.86/31,653
  6. Step 6: Final answer
    x = 24,158.84

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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.