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Finding the Fourth Proportional to 30,767.93, 46,121.22 and 13,003.07

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Solution

The fourth proportional to 30,767.93, 46,121.22 and 13,003.07 is: 19,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.93 : 46,121.22 = 13,003.07 : x
  2. Step 2: Convert to fraction form
    30,767.93/46,121.22 = 13,003.07/x
  3. Step 3: Cross multiply
    30,767.93x = 46,121.22 × 13,003.07
  4. Step 4: Simplify right side
    30,767.93x = 599,717,221.54
  5. Step 5: Solve for x
    x = 599,717,221.54/30,767.93
  6. Step 6: Final answer
    x = 19,491.64

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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.