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Finding the Fourth Proportional to 31,049.58, 46,560.07 and 9,985.73

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Solution

The fourth proportional to 31,049.58, 46,560.07 and 9,985.73 is: 14,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.58 : 46,560.07 = 9,985.73 : x
  2. Step 2: Convert to fraction form
    31,049.58/46,560.07 = 9,985.73/x
  3. Step 3: Cross multiply
    31,049.58x = 46,560.07 × 9,985.73
  4. Step 4: Simplify right side
    31,049.58x = 464,936,287.80
  5. Step 5: Solve for x
    x = 464,936,287.80/31,049.58
  6. Step 6: Final answer
    x = 14,974.00

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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.