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Finding the Fourth Proportional to 69,878.76, 96,433.38 and 40,065

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Solution

The fourth proportional to 69,878.76, 96,433.38 and 40,065 is: 55,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.76 : 96,433.38 = 40,065 : x
  2. Step 2: Convert to fraction form
    69,878.76/96,433.38 = 40,065/x
  3. Step 3: Cross multiply
    69,878.76x = 96,433.38 × 40,065
  4. Step 4: Simplify right side
    69,878.76x = 3,863,603,369.70
  5. Step 5: Solve for x
    x = 3,863,603,369.70/69,878.76
  6. Step 6: Final answer
    x = 55,290.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.