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Finding the Fourth Proportional to 30,936.90, 46,422.36 and 13,406.88

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Solution

The fourth proportional to 30,936.90, 46,422.36 and 13,406.88 is: 20,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936.90 : 46,422.36 = 13,406.88 : x
  2. Step 2: Convert to fraction form
    30,936.90/46,422.36 = 13,406.88/x
  3. Step 3: Cross multiply
    30,936.90x = 46,422.36 × 13,406.88
  4. Step 4: Simplify right side
    30,936.90x = 622,379,009.84
  5. Step 5: Solve for x
    x = 622,379,009.84/30,936.90
  6. Step 6: Final answer
    x = 20,117.69

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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.