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Finding the Fourth Proportional to 85,692.92, 128,538.02 and 23,363.42

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Solution

The fourth proportional to 85,692.92, 128,538.02 and 23,363.42 is: 35,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692.92 : 128,538.02 = 23,363.42 : x
  2. Step 2: Convert to fraction form
    85,692.92/128,538.02 = 23,363.42/x
  3. Step 3: Cross multiply
    85,692.92x = 128,538.02 × 23,363.42
  4. Step 4: Simplify right side
    85,692.92x = 3,003,087,747.23
  5. Step 5: Solve for x
    x = 3,003,087,747.23/85,692.92
  6. Step 6: Final answer
    x = 35,044.76

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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.