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Finding the Fourth Proportional to 31,057.32, 46,571.71 and 9,993.48

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Solution

The fourth proportional to 31,057.32, 46,571.71 and 9,993.48 is: 14,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.32 : 46,571.71 = 9,993.48 : x
  2. Step 2: Convert to fraction form
    31,057.32/46,571.71 = 9,993.48/x
  3. Step 3: Cross multiply
    31,057.32x = 46,571.71 × 9,993.48
  4. Step 4: Simplify right side
    31,057.32x = 465,413,452.45
  5. Step 5: Solve for x
    x = 465,413,452.45/31,057.32
  6. Step 6: Final answer
    x = 14,985.63

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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.