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Finding the Fourth Proportional to 82,419.97, 113,745.03 and 46,124.83

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Solution

The fourth proportional to 82,419.97, 113,745.03 and 46,124.83 is: 63,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.97 : 113,745.03 = 46,124.83 : x
  2. Step 2: Convert to fraction form
    82,419.97/113,745.03 = 46,124.83/x
  3. Step 3: Cross multiply
    82,419.97x = 113,745.03 × 46,124.83
  4. Step 4: Simplify right side
    82,419.97x = 5,246,470,172.09
  5. Step 5: Solve for x
    x = 5,246,470,172.09/82,419.97
  6. Step 6: Final answer
    x = 63,655.33

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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.