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Finding the Fourth Proportional to 68,265.16, 102,397.50 and 30,838.36

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Solution

The fourth proportional to 68,265.16, 102,397.50 and 30,838.36 is: 46,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,265.16 : 102,397.50 = 30,838.36 : x
  2. Step 2: Convert to fraction form
    68,265.16/102,397.50 = 30,838.36/x
  3. Step 3: Cross multiply
    68,265.16x = 102,397.50 × 30,838.36
  4. Step 4: Simplify right side
    68,265.16x = 3,157,770,968.10
  5. Step 5: Solve for x
    x = 3,157,770,968.10/68,265.16
  6. Step 6: Final answer
    x = 46,257.43

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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.