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Finding the Fourth Proportional to 30,980.25, 46,473.18 and 9,920.85

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Solution

The fourth proportional to 30,980.25, 46,473.18 and 9,920.85 is: 14,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.25 : 46,473.18 = 9,920.85 : x
  2. Step 2: Convert to fraction form
    30,980.25/46,473.18 = 9,920.85/x
  3. Step 3: Cross multiply
    30,980.25x = 46,473.18 × 9,920.85
  4. Step 4: Simplify right side
    30,980.25x = 461,053,447.80
  5. Step 5: Solve for x
    x = 461,053,447.80/30,980.25
  6. Step 6: Final answer
    x = 14,882.17

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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.