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Finding the Fourth Proportional to 31,111.40, 46,667.10 and 19,431.20

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Solution

The fourth proportional to 31,111.40, 46,667.10 and 19,431.20 is: 29,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.40 : 46,667.10 = 19,431.20 : x
  2. Step 2: Convert to fraction form
    31,111.40/46,667.10 = 19,431.20/x
  3. Step 3: Cross multiply
    31,111.40x = 46,667.10 × 19,431.20
  4. Step 4: Simplify right side
    31,111.40x = 906,797,753.52
  5. Step 5: Solve for x
    x = 906,797,753.52/31,111.40
  6. Step 6: Final answer
    x = 29,146.80

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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.