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Finding the Fourth Proportional to 30,980.09, 46,444.00 and 13,436.70

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Solution

The fourth proportional to 30,980.09, 46,444.00 and 13,436.70 is: 20,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.09 : 46,444.00 = 13,436.70 : x
  2. Step 2: Convert to fraction form
    30,980.09/46,444.00 = 13,436.70/x
  3. Step 3: Cross multiply
    30,980.09x = 46,444.00 × 13,436.70
  4. Step 4: Simplify right side
    30,980.09x = 624,054,061.21
  5. Step 5: Solve for x
    x = 624,054,061.21/30,980.09
  6. Step 6: Final answer
    x = 20,143.72

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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.