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Finding the Fourth Proportional to 100,425.24, 150,638.04 and 41,219.64

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Solution

The fourth proportional to 100,425.24, 150,638.04 and 41,219.64 is: 61,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,425.24 : 150,638.04 = 41,219.64 : x
  2. Step 2: Convert to fraction form
    100,425.24/150,638.04 = 41,219.64/x
  3. Step 3: Cross multiply
    100,425.24x = 150,638.04 × 41,219.64
  4. Step 4: Simplify right side
    100,425.24x = 6,209,245,779.11
  5. Step 5: Solve for x
    x = 6,209,245,779.11/100,425.24
  6. Step 6: Final answer
    x = 61,829.53

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