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Finding the Fourth Proportional to 55,745.52, 77,028.48 and 41,463

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Solution

The fourth proportional to 55,745.52, 77,028.48 and 41,463 is: 57,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,745.52 : 77,028.48 = 41,463 : x
  2. Step 2: Convert to fraction form
    55,745.52/77,028.48 = 41,463/x
  3. Step 3: Cross multiply
    55,745.52x = 77,028.48 × 41,463
  4. Step 4: Simplify right side
    55,745.52x = 3,193,831,866.24
  5. Step 5: Solve for x
    x = 3,193,831,866.24/55,745.52
  6. Step 6: Final answer
    x = 57,293.07

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1.5x scale

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.