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Finding the Fourth Proportional to 30,278.25, 45,418.94 and 9,216.63

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Solution

The fourth proportional to 30,278.25, 45,418.94 and 9,216.63 is: 13,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.25 : 45,418.94 = 9,216.63 : x
  2. Step 2: Convert to fraction form
    30,278.25/45,418.94 = 9,216.63/x
  3. Step 3: Cross multiply
    30,278.25x = 45,418.94 × 9,216.63
  4. Step 4: Simplify right side
    30,278.25x = 418,609,564.97
  5. Step 5: Solve for x
    x = 418,609,564.97/30,278.25
  6. Step 6: Final answer
    x = 13,825.42

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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.