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Finding the Fourth Proportional to 30,825.60, 46,241.64 and 10,044.24

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Solution

The fourth proportional to 30,825.60, 46,241.64 and 10,044.24 is: 15,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.60 : 46,241.64 = 10,044.24 : x
  2. Step 2: Convert to fraction form
    30,825.60/46,241.64 = 10,044.24/x
  3. Step 3: Cross multiply
    30,825.60x = 46,241.64 × 10,044.24
  4. Step 4: Simplify right side
    30,825.60x = 464,462,130.15
  5. Step 5: Solve for x
    x = 464,462,130.15/30,825.60
  6. Step 6: Final answer
    x = 15,067.42

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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.