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Finding the Fourth Proportional to 30,980.36, 46,444.42 and 13,436.98

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Solution

The fourth proportional to 30,980.36, 46,444.42 and 13,436.98 is: 20,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.36 : 46,444.42 = 13,436.98 : x
  2. Step 2: Convert to fraction form
    30,980.36/46,444.42 = 13,436.98/x
  3. Step 3: Cross multiply
    30,980.36x = 46,444.42 × 13,436.98
  4. Step 4: Simplify right side
    30,980.36x = 624,072,643.34
  5. Step 5: Solve for x
    x = 624,072,643.34/30,980.36
  6. Step 6: Final answer
    x = 20,144.14

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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.