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Finding the Fourth Proportional to 30,816.50, 46,232.43 and 8,928.50

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Solution

The fourth proportional to 30,816.50, 46,232.43 and 8,928.50 is: 13,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.50 : 46,232.43 = 8,928.50 : x
  2. Step 2: Convert to fraction form
    30,816.50/46,232.43 = 8,928.50/x
  3. Step 3: Cross multiply
    30,816.50x = 46,232.43 × 8,928.50
  4. Step 4: Simplify right side
    30,816.50x = 412,786,251.26
  5. Step 5: Solve for x
    x = 412,786,251.26/30,816.50
  6. Step 6: Final answer
    x = 13,394.98

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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.