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Finding the Fourth Proportional to 30,951.36, 46,426.58 and 7,577.80

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Solution

The fourth proportional to 30,951.36, 46,426.58 and 7,577.80 is: 11,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.36 : 46,426.58 = 7,577.80 : x
  2. Step 2: Convert to fraction form
    30,951.36/46,426.58 = 7,577.80/x
  3. Step 3: Cross multiply
    30,951.36x = 46,426.58 × 7,577.80
  4. Step 4: Simplify right side
    30,951.36x = 351,811,183.97
  5. Step 5: Solve for x
    x = 351,811,183.97/30,951.36
  6. Step 6: Final answer
    x = 11,366.58

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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.