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Finding the Fourth Proportional to 104,133.82, 156,202.65 and 37,578.94

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Solution

The fourth proportional to 104,133.82, 156,202.65 and 37,578.94 is: 56,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,133.82 : 156,202.65 = 37,578.94 : x
  2. Step 2: Convert to fraction form
    104,133.82/156,202.65 = 37,578.94/x
  3. Step 3: Cross multiply
    104,133.82x = 156,202.65 × 37,578.94
  4. Step 4: Simplify right side
    104,133.82x = 5,869,930,012.19
  5. Step 5: Solve for x
    x = 5,869,930,012.19/104,133.82
  6. Step 6: Final answer
    x = 56,369.10

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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.