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Finding the Fourth Proportional to 31,055.32, 46,568.72 and 9,991.48

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Solution

The fourth proportional to 31,055.32, 46,568.72 and 9,991.48 is: 14,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.32 : 46,568.72 = 9,991.48 : x
  2. Step 2: Convert to fraction form
    31,055.32/46,568.72 = 9,991.48/x
  3. Step 3: Cross multiply
    31,055.32x = 46,568.72 × 9,991.48
  4. Step 4: Simplify right side
    31,055.32x = 465,290,434.51
  5. Step 5: Solve for x
    x = 465,290,434.51/31,055.32
  6. Step 6: Final answer
    x = 14,982.63

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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.