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Finding the Fourth Proportional to 31,092.40, 46,638.60 and 19,412.20

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Solution

The fourth proportional to 31,092.40, 46,638.60 and 19,412.20 is: 29,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.40 : 46,638.60 = 19,412.20 : x
  2. Step 2: Convert to fraction form
    31,092.40/46,638.60 = 19,412.20/x
  3. Step 3: Cross multiply
    31,092.40x = 46,638.60 × 19,412.20
  4. Step 4: Simplify right side
    31,092.40x = 905,357,830.92
  5. Step 5: Solve for x
    x = 905,357,830.92/31,092.40
  6. Step 6: Final answer
    x = 29,118.30

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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.