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Finding the Fourth Proportional to 97,093.94, 145,640.85 and 55,511.78

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Solution

The fourth proportional to 97,093.94, 145,640.85 and 55,511.78 is: 83,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.94 : 145,640.85 = 55,511.78 : x
  2. Step 2: Convert to fraction form
    97,093.94/145,640.85 = 55,511.78/x
  3. Step 3: Cross multiply
    97,093.94x = 145,640.85 × 55,511.78
  4. Step 4: Simplify right side
    97,093.94x = 8,084,782,824.21
  5. Step 5: Solve for x
    x = 8,084,782,824.21/97,093.94
  6. Step 6: Final answer
    x = 83,267.64

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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.