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Finding the Fourth Proportional to 30,936.15, 46,421.24 and 13,406.13

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Solution

The fourth proportional to 30,936.15, 46,421.24 and 13,406.13 is: 20,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936.15 : 46,421.24 = 13,406.13 : x
  2. Step 2: Convert to fraction form
    30,936.15/46,421.24 = 13,406.13/x
  3. Step 3: Cross multiply
    30,936.15x = 46,421.24 × 13,406.13
  4. Step 4: Simplify right side
    30,936.15x = 622,329,111.17
  5. Step 5: Solve for x
    x = 622,329,111.17/30,936.15
  6. Step 6: Final answer
    x = 20,116.57

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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.