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Finding the Fourth Proportional to 55,795, 83,692.94 and 20,734.63

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Solution

The fourth proportional to 55,795, 83,692.94 and 20,734.63 is: 31,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,795 : 83,692.94 = 20,734.63 : x
  2. Step 2: Convert to fraction form
    55,795/83,692.94 = 20,734.63/x
  3. Step 3: Cross multiply
    55,795x = 83,692.94 × 20,734.63
  4. Step 4: Simplify right side
    55,795x = 1,735,342,144.51
  5. Step 5: Solve for x
    x = 1,735,342,144.51/55,795
  6. Step 6: Final answer
    x = 31,102.11

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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.