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Finding the Fourth Proportional to 122,715.44, 184,092.64 and 39,590

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Solution

The fourth proportional to 122,715.44, 184,092.64 and 39,590 is: 59,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715.44 : 184,092.64 = 39,590 : x
  2. Step 2: Convert to fraction form
    122,715.44/184,092.64 = 39,590/x
  3. Step 3: Cross multiply
    122,715.44x = 184,092.64 × 39,590
  4. Step 4: Simplify right side
    122,715.44x = 7,288,227,617.60
  5. Step 5: Solve for x
    x = 7,288,227,617.60/122,715.44
  6. Step 6: Final answer
    x = 59,391.28

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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.