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Finding the Fourth Proportional to 31,648.89, 47,431.42 and 16,825.89

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Solution

The fourth proportional to 31,648.89, 47,431.42 and 16,825.89 is: 25,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.89 : 47,431.42 = 16,825.89 : x
  2. Step 2: Convert to fraction form
    31,648.89/47,431.42 = 16,825.89/x
  3. Step 3: Cross multiply
    31,648.89x = 47,431.42 × 16,825.89
  4. Step 4: Simplify right side
    31,648.89x = 798,075,813.40
  5. Step 5: Solve for x
    x = 798,075,813.40/31,648.89
  6. Step 6: Final answer
    x = 25,216.55

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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.