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Finding the Fourth Proportional to 106,915.44, 160,408.80 and 35,845.10

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Solution

The fourth proportional to 106,915.44, 160,408.80 and 35,845.10 is: 53,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,915.44 : 160,408.80 = 35,845.10 : x
  2. Step 2: Convert to fraction form
    106,915.44/160,408.80 = 35,845.10/x
  3. Step 3: Cross multiply
    106,915.44x = 160,408.80 × 35,845.10
  4. Step 4: Simplify right side
    106,915.44x = 5,749,869,476.88
  5. Step 5: Solve for x
    x = 5,749,869,476.88/106,915.44
  6. Step 6: Final answer
    x = 53,779.60

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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.