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Finding the Fourth Proportional to 30,016.50, 45,025.38 and 9,240

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Solution

The fourth proportional to 30,016.50, 45,025.38 and 9,240 is: 13,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.50 : 45,025.38 = 9,240 : x
  2. Step 2: Convert to fraction form
    30,016.50/45,025.38 = 9,240/x
  3. Step 3: Cross multiply
    30,016.50x = 45,025.38 × 9,240
  4. Step 4: Simplify right side
    30,016.50x = 416,034,511.20
  5. Step 5: Solve for x
    x = 416,034,511.20/30,016.50
  6. Step 6: Final answer
    x = 13,860.19

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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.