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Finding the Fourth Proportional to 30,950.58, 46,427.49 and 7,577.22

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Solution

The fourth proportional to 30,950.58, 46,427.49 and 7,577.22 is: 11,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.58 : 46,427.49 = 7,577.22 : x
  2. Step 2: Convert to fraction form
    30,950.58/46,427.49 = 7,577.22/x
  3. Step 3: Cross multiply
    30,950.58x = 46,427.49 × 7,577.22
  4. Step 4: Simplify right side
    30,950.58x = 351,791,305.78
  5. Step 5: Solve for x
    x = 351,791,305.78/30,950.58
  6. Step 6: Final answer
    x = 11,366.23

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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.