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Finding the Fourth Proportional to 31,102.20, 46,653.30 and 19,438.20

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Solution

The fourth proportional to 31,102.20, 46,653.30 and 19,438.20 is: 29,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.20 : 46,653.30 = 19,438.20 : x
  2. Step 2: Convert to fraction form
    31,102.20/46,653.30 = 19,438.20/x
  3. Step 3: Cross multiply
    31,102.20x = 46,653.30 × 19,438.20
  4. Step 4: Simplify right side
    31,102.20x = 906,856,176.06
  5. Step 5: Solve for x
    x = 906,856,176.06/31,102.20
  6. Step 6: Final answer
    x = 29,157.30

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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.