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Finding the Fourth Proportional to 104,153.50, 156,237.54 and 41,824

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Solution

The fourth proportional to 104,153.50, 156,237.54 and 41,824 is: 62,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,153.50 : 156,237.54 = 41,824 : x
  2. Step 2: Convert to fraction form
    104,153.50/156,237.54 = 41,824/x
  3. Step 3: Cross multiply
    104,153.50x = 156,237.54 × 41,824
  4. Step 4: Simplify right side
    104,153.50x = 6,534,478,872.96
  5. Step 5: Solve for x
    x = 6,534,478,872.96/104,153.50
  6. Step 6: Final answer
    x = 62,738.93

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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.