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Finding the Fourth Proportional to 31,438.44, 43,384.21 and 17,828.98

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Solution

The fourth proportional to 31,438.44, 43,384.21 and 17,828.98 is: 24,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.44 : 43,384.21 = 17,828.98 : x
  2. Step 2: Convert to fraction form
    31,438.44/43,384.21 = 17,828.98/x
  3. Step 3: Cross multiply
    31,438.44x = 43,384.21 × 17,828.98
  4. Step 4: Simplify right side
    31,438.44x = 773,496,059.37
  5. Step 5: Solve for x
    x = 773,496,059.37/31,438.44
  6. Step 6: Final answer
    x = 24,603.51

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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.