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Finding the Fourth Proportional to 104,222.52, 156,241.02 and 37,647.80

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Solution

The fourth proportional to 104,222.52, 156,241.02 and 37,647.80 is: 56,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,222.52 : 156,241.02 = 37,647.80 : x
  2. Step 2: Convert to fraction form
    104,222.52/156,241.02 = 37,647.80/x
  3. Step 3: Cross multiply
    104,222.52x = 156,241.02 × 37,647.80
  4. Step 4: Simplify right side
    104,222.52x = 5,882,130,672.76
  5. Step 5: Solve for x
    x = 5,882,130,672.76/104,222.52
  6. Step 6: Final answer
    x = 56,438.19

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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.