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Finding the Fourth Proportional to 30,277.75, 45,418.19 and 9,216.13

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Solution

The fourth proportional to 30,277.75, 45,418.19 and 9,216.13 is: 13,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.75 : 45,418.19 = 9,216.13 : x
  2. Step 2: Convert to fraction form
    30,277.75/45,418.19 = 9,216.13/x
  3. Step 3: Cross multiply
    30,277.75x = 45,418.19 × 9,216.13
  4. Step 4: Simplify right side
    30,277.75x = 418,579,670.23
  5. Step 5: Solve for x
    x = 418,579,670.23/30,277.75
  6. Step 6: Final answer
    x = 13,824.66

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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.