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Finding the Fourth Proportional to 30,278.71, 45,418.22 and 9,218.93

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Solution

The fourth proportional to 30,278.71, 45,418.22 and 9,218.93 is: 13,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.71 : 45,418.22 = 9,218.93 : x
  2. Step 2: Convert to fraction form
    30,278.71/45,418.22 = 9,218.93/x
  3. Step 3: Cross multiply
    30,278.71x = 45,418.22 × 9,218.93
  4. Step 4: Simplify right side
    30,278.71x = 418,707,344.81
  5. Step 5: Solve for x
    x = 418,707,344.81/30,278.71
  6. Step 6: Final answer
    x = 13,828.44

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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.