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Finding the Fourth Proportional to 30,896.16, 46,344.48 and 7,522.80

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Solution

The fourth proportional to 30,896.16, 46,344.48 and 7,522.80 is: 11,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.16 : 46,344.48 = 7,522.80 : x
  2. Step 2: Convert to fraction form
    30,896.16/46,344.48 = 7,522.80/x
  3. Step 3: Cross multiply
    30,896.16x = 46,344.48 × 7,522.80
  4. Step 4: Simplify right side
    30,896.16x = 348,640,254.14
  5. Step 5: Solve for x
    x = 348,640,254.14/30,896.16
  6. Step 6: Final answer
    x = 11,284.26

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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.