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Finding the Fourth Proportional to 83,692.78, 115,516.14 and 47,903.54

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Solution

The fourth proportional to 83,692.78, 115,516.14 and 47,903.54 is: 66,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.78 : 115,516.14 = 47,903.54 : x
  2. Step 2: Convert to fraction form
    83,692.78/115,516.14 = 47,903.54/x
  3. Step 3: Cross multiply
    83,692.78x = 115,516.14 × 47,903.54
  4. Step 4: Simplify right side
    83,692.78x = 5,533,632,033.14
  5. Step 5: Solve for x
    x = 5,533,632,033.14/83,692.78
  6. Step 6: Final answer
    x = 66,118.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.