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Finding the Fourth Proportional to 30,825.54, 46,238.28 and 10,563.81

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Solution

The fourth proportional to 30,825.54, 46,238.28 and 10,563.81 is: 15,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.54 : 46,238.28 = 10,563.81 : x
  2. Step 2: Convert to fraction form
    30,825.54/46,238.28 = 10,563.81/x
  3. Step 3: Cross multiply
    30,825.54x = 46,238.28 × 10,563.81
  4. Step 4: Simplify right side
    30,825.54x = 488,452,404.65
  5. Step 5: Solve for x
    x = 488,452,404.65/30,825.54
  6. Step 6: Final answer
    x = 15,845.70

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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.