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Finding the Fourth Proportional to 42,676.69, 64,027.85 and 20,204.50

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Solution

The fourth proportional to 42,676.69, 64,027.85 and 20,204.50 is: 30,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676.69 : 64,027.85 = 20,204.50 : x
  2. Step 2: Convert to fraction form
    42,676.69/64,027.85 = 20,204.50/x
  3. Step 3: Cross multiply
    42,676.69x = 64,027.85 × 20,204.50
  4. Step 4: Simplify right side
    42,676.69x = 1,293,650,434.23
  5. Step 5: Solve for x
    x = 1,293,650,434.23/42,676.69
  6. Step 6: Final answer
    x = 30,312.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.