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Finding the Fourth Proportional to 30,768.58, 46,155.09 and 11,047.30

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Solution

The fourth proportional to 30,768.58, 46,155.09 and 11,047.30 is: 16,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.58 : 46,155.09 = 11,047.30 : x
  2. Step 2: Convert to fraction form
    30,768.58/46,155.09 = 11,047.30/x
  3. Step 3: Cross multiply
    30,768.58x = 46,155.09 × 11,047.30
  4. Step 4: Simplify right side
    30,768.58x = 509,889,125.76
  5. Step 5: Solve for x
    x = 509,889,125.76/30,768.58
  6. Step 6: Final answer
    x = 16,571.75

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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.