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Finding the Fourth Proportional to 68,264.16, 102,396 and 30,837.36

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Solution

The fourth proportional to 68,264.16, 102,396 and 30,837.36 is: 46,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264.16 : 102,396 = 30,837.36 : x
  2. Step 2: Convert to fraction form
    68,264.16/102,396 = 30,837.36/x
  3. Step 3: Cross multiply
    68,264.16x = 102,396 × 30,837.36
  4. Step 4: Simplify right side
    68,264.16x = 3,157,622,314.56
  5. Step 5: Solve for x
    x = 3,157,622,314.56/68,264.16
  6. Step 6: Final answer
    x = 46,255.93

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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.