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Finding the Fourth Proportional to 30,935.40, 46,420.11 and 13,405.38

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Solution

The fourth proportional to 30,935.40, 46,420.11 and 13,405.38 is: 20,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.40 : 46,420.11 = 13,405.38 : x
  2. Step 2: Convert to fraction form
    30,935.40/46,420.11 = 13,405.38/x
  3. Step 3: Cross multiply
    30,935.40x = 46,420.11 × 13,405.38
  4. Step 4: Simplify right side
    30,935.40x = 622,279,214.19
  5. Step 5: Solve for x
    x = 622,279,214.19/30,935.40
  6. Step 6: Final answer
    x = 20,115.44

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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.