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Finding the Fourth Proportional to 30,816.36, 46,214.64 and 10,035

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Solution

The fourth proportional to 30,816.36, 46,214.64 and 10,035 is: 15,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.36 : 46,214.64 = 10,035 : x
  2. Step 2: Convert to fraction form
    30,816.36/46,214.64 = 10,035/x
  3. Step 3: Cross multiply
    30,816.36x = 46,214.64 × 10,035
  4. Step 4: Simplify right side
    30,816.36x = 463,763,912.40
  5. Step 5: Solve for x
    x = 463,763,912.40/30,816.36
  6. Step 6: Final answer
    x = 15,049.28

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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.