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Finding the Fourth Proportional to 30,461.56, 45,692.34 and 8,274.94

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Solution

The fourth proportional to 30,461.56, 45,692.34 and 8,274.94 is: 12,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.56 : 45,692.34 = 8,274.94 : x
  2. Step 2: Convert to fraction form
    30,461.56/45,692.34 = 8,274.94/x
  3. Step 3: Cross multiply
    30,461.56x = 45,692.34 × 8,274.94
  4. Step 4: Simplify right side
    30,461.56x = 378,101,371.96
  5. Step 5: Solve for x
    x = 378,101,371.96/30,461.56
  6. Step 6: Final answer
    x = 12,412.41

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1.5x scale

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.