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Finding the Fourth Proportional to 30,817.44, 46,232.40 and 10,035.36

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Solution

The fourth proportional to 30,817.44, 46,232.40 and 10,035.36 is: 15,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.44 : 46,232.40 = 10,035.36 : x
  2. Step 2: Convert to fraction form
    30,817.44/46,232.40 = 10,035.36/x
  3. Step 3: Cross multiply
    30,817.44x = 46,232.40 × 10,035.36
  4. Step 4: Simplify right side
    30,817.44x = 463,958,777.66
  5. Step 5: Solve for x
    x = 463,958,777.66/30,817.44
  6. Step 6: Final answer
    x = 15,055.07

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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.