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Finding the Fourth Proportional to 31,028.81, 46,550.97 and 9,970.70

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Solution

The fourth proportional to 31,028.81, 46,550.97 and 9,970.70 is: 14,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.81 : 46,550.97 = 9,970.70 : x
  2. Step 2: Convert to fraction form
    31,028.81/46,550.97 = 9,970.70/x
  3. Step 3: Cross multiply
    31,028.81x = 46,550.97 × 9,970.70
  4. Step 4: Simplify right side
    31,028.81x = 464,145,523.82
  5. Step 5: Solve for x
    x = 464,145,523.82/31,028.81
  6. Step 6: Final answer
    x = 14,958.54

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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.