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Finding the Fourth Proportional to 122,996.48, 184,520.64 and 39,884

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Solution

The fourth proportional to 122,996.48, 184,520.64 and 39,884 is: 59,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,996.48 : 184,520.64 = 39,884 : x
  2. Step 2: Convert to fraction form
    122,996.48/184,520.64 = 39,884/x
  3. Step 3: Cross multiply
    122,996.48x = 184,520.64 × 39,884
  4. Step 4: Simplify right side
    122,996.48x = 7,359,421,205.76
  5. Step 5: Solve for x
    x = 7,359,421,205.76/122,996.48
  6. Step 6: Final answer
    x = 59,834.41

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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.