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Finding the Fourth Proportional to 111,638.20, 167,457.30 and 37,766.20

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Solution

The fourth proportional to 111,638.20, 167,457.30 and 37,766.20 is: 56,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,638.20 : 167,457.30 = 37,766.20 : x
  2. Step 2: Convert to fraction form
    111,638.20/167,457.30 = 37,766.20/x
  3. Step 3: Cross multiply
    111,638.20x = 167,457.30 × 37,766.20
  4. Step 4: Simplify right side
    111,638.20x = 6,324,225,883.26
  5. Step 5: Solve for x
    x = 6,324,225,883.26/111,638.20
  6. Step 6: Final answer
    x = 56,649.30

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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.