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Finding the Fourth Proportional to 30,944.50, 46,409.28 and 14,288.52

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Solution

The fourth proportional to 30,944.50, 46,409.28 and 14,288.52 is: 21,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.50 : 46,409.28 = 14,288.52 : x
  2. Step 2: Convert to fraction form
    30,944.50/46,409.28 = 14,288.52/x
  3. Step 3: Cross multiply
    30,944.50x = 46,409.28 × 14,288.52
  4. Step 4: Simplify right side
    30,944.50x = 663,119,825.05
  5. Step 5: Solve for x
    x = 663,119,825.05/30,944.50
  6. Step 6: Final answer
    x = 21,429.33

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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.