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Finding the Fourth Proportional to 31,054.36, 46,574.99 and 9,996.28

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Solution

The fourth proportional to 31,054.36, 46,574.99 and 9,996.28 is: 14,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.36 : 46,574.99 = 9,996.28 : x
  2. Step 2: Convert to fraction form
    31,054.36/46,574.99 = 9,996.28/x
  3. Step 3: Cross multiply
    31,054.36x = 46,574.99 × 9,996.28
  4. Step 4: Simplify right side
    31,054.36x = 465,576,408.16
  5. Step 5: Solve for x
    x = 465,576,408.16/31,054.36
  6. Step 6: Final answer
    x = 14,992.31

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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.