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Finding the Fourth Proportional to 106,796.65, 160,193.44 and 31,915.14

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Solution

The fourth proportional to 106,796.65, 160,193.44 and 31,915.14 is: 47,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,796.65 : 160,193.44 = 31,915.14 : x
  2. Step 2: Convert to fraction form
    106,796.65/160,193.44 = 31,915.14/x
  3. Step 3: Cross multiply
    106,796.65x = 160,193.44 × 31,915.14
  4. Step 4: Simplify right side
    106,796.65x = 5,112,596,064.68
  5. Step 5: Solve for x
    x = 5,112,596,064.68/106,796.65
  6. Step 6: Final answer
    x = 47,872.25

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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.