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Finding the Fourth Proportional to 47,798.46, 65,961 and 26,577.54

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Solution

The fourth proportional to 47,798.46, 65,961 and 26,577.54 is: 36,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.46 : 65,961 = 26,577.54 : x
  2. Step 2: Convert to fraction form
    47,798.46/65,961 = 26,577.54/x
  3. Step 3: Cross multiply
    47,798.46x = 65,961 × 26,577.54
  4. Step 4: Simplify right side
    47,798.46x = 1,753,081,115.94
  5. Step 5: Solve for x
    x = 1,753,081,115.94/47,798.46
  6. Step 6: Final answer
    x = 36,676.52

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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.