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Finding the Fourth Proportional to 52,201.89, 72,034.64 and 30,692.52

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Solution

The fourth proportional to 52,201.89, 72,034.64 and 30,692.52 is: 42,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.89 : 72,034.64 = 30,692.52 : x
  2. Step 2: Convert to fraction form
    52,201.89/72,034.64 = 30,692.52/x
  3. Step 3: Cross multiply
    52,201.89x = 72,034.64 × 30,692.52
  4. Step 4: Simplify right side
    52,201.89x = 2,210,924,676.85
  5. Step 5: Solve for x
    x = 2,210,924,676.85/52,201.89
  6. Step 6: Final answer
    x = 42,353.34

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