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Finding the Fourth Proportional to 31,848, 43,950.30 and 17,704.20

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Solution

The fourth proportional to 31,848, 43,950.30 and 17,704.20 is: 24,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848 : 43,950.30 = 17,704.20 : x
  2. Step 2: Convert to fraction form
    31,848/43,950.30 = 17,704.20/x
  3. Step 3: Cross multiply
    31,848x = 43,950.30 × 17,704.20
  4. Step 4: Simplify right side
    31,848x = 778,104,901.26
  5. Step 5: Solve for x
    x = 778,104,901.26/31,848
  6. Step 6: Final answer
    x = 24,431.83

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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.