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Finding the Fourth Proportional to 30,979.49, 46,443.11 and 13,436.10

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Solution

The fourth proportional to 30,979.49, 46,443.11 and 13,436.10 is: 20,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,979.49 : 46,443.11 = 13,436.10 : x
  2. Step 2: Convert to fraction form
    30,979.49/46,443.11 = 13,436.10/x
  3. Step 3: Cross multiply
    30,979.49x = 46,443.11 × 13,436.10
  4. Step 4: Simplify right side
    30,979.49x = 624,014,352.79
  5. Step 5: Solve for x
    x = 624,014,352.79/30,979.49
  6. Step 6: Final answer
    x = 20,142.82

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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.