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Finding the Fourth Proportional to 69,096.32, 103,684.67 and 26,974.16

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Solution

The fourth proportional to 69,096.32, 103,684.67 and 26,974.16 is: 40,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,096.32 : 103,684.67 = 26,974.16 : x
  2. Step 2: Convert to fraction form
    69,096.32/103,684.67 = 26,974.16/x
  3. Step 3: Cross multiply
    69,096.32x = 103,684.67 × 26,974.16
  4. Step 4: Simplify right side
    69,096.32x = 2,796,806,878.13
  5. Step 5: Solve for x
    x = 2,796,806,878.13/69,096.32
  6. Step 6: Final answer
    x = 40,476.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.