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Finding the Fourth Proportional to 47,649, 65,712.58 and 29,745.66

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Solution

The fourth proportional to 47,649, 65,712.58 and 29,745.66 is: 41,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649 : 65,712.58 = 29,745.66 : x
  2. Step 2: Convert to fraction form
    47,649/65,712.58 = 29,745.66/x
  3. Step 3: Cross multiply
    47,649x = 65,712.58 × 29,745.66
  4. Step 4: Simplify right side
    47,649x = 1,954,664,062.40
  5. Step 5: Solve for x
    x = 1,954,664,062.40/47,649
  6. Step 6: Final answer
    x = 41,022.14

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Why These Related Problems?

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