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Finding the Fourth Proportional to 47,636, 65,739.52 and 26,414.82

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Solution

The fourth proportional to 47,636, 65,739.52 and 26,414.82 is: 36,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,636 : 65,739.52 = 26,414.82 : x
  2. Step 2: Convert to fraction form
    47,636/65,739.52 = 26,414.82/x
  3. Step 3: Cross multiply
    47,636x = 65,739.52 × 26,414.82
  4. Step 4: Simplify right side
    47,636x = 1,736,497,587.69
  5. Step 5: Solve for x
    x = 1,736,497,587.69/47,636
  6. Step 6: Final answer
    x = 36,453.47

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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.