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Finding the Fourth Proportional to 30,805.20, 46,207.80 and 11,084.40

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Solution

The fourth proportional to 30,805.20, 46,207.80 and 11,084.40 is: 16,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.20 : 46,207.80 = 11,084.40 : x
  2. Step 2: Convert to fraction form
    30,805.20/46,207.80 = 11,084.40/x
  3. Step 3: Cross multiply
    30,805.20x = 46,207.80 × 11,084.40
  4. Step 4: Simplify right side
    30,805.20x = 512,185,738.32
  5. Step 5: Solve for x
    x = 512,185,738.32/30,805.20
  6. Step 6: Final answer
    x = 16,626.60

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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.