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Finding the Fourth Proportional to 71,314.14, 106,942.50 and 26,916.78

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Solution

The fourth proportional to 71,314.14, 106,942.50 and 26,916.78 is: 40,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.14 : 106,942.50 = 26,916.78 : x
  2. Step 2: Convert to fraction form
    71,314.14/106,942.50 = 26,916.78/x
  3. Step 3: Cross multiply
    71,314.14x = 106,942.50 × 26,916.78
  4. Step 4: Simplify right side
    71,314.14x = 2,878,547,745.15
  5. Step 5: Solve for x
    x = 2,878,547,745.15/71,314.14
  6. Step 6: Final answer
    x = 40,364.33

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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.