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Finding the Fourth Proportional to 30,758.40, 46,121.20 and 15,930.54

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Solution

The fourth proportional to 30,758.40, 46,121.20 and 15,930.54 is: 23,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.40 : 46,121.20 = 15,930.54 : x
  2. Step 2: Convert to fraction form
    30,758.40/46,121.20 = 15,930.54/x
  3. Step 3: Cross multiply
    30,758.40x = 46,121.20 × 15,930.54
  4. Step 4: Simplify right side
    30,758.40x = 734,735,621.45
  5. Step 5: Solve for x
    x = 734,735,621.45/30,758.40
  6. Step 6: Final answer
    x = 23,887.32

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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.