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Finding the Fourth Proportional to 82,422.95, 113,745.84 and 46,618.25

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Solution

The fourth proportional to 82,422.95, 113,745.84 and 46,618.25 is: 64,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422.95 : 113,745.84 = 46,618.25 : x
  2. Step 2: Convert to fraction form
    82,422.95/113,745.84 = 46,618.25/x
  3. Step 3: Cross multiply
    82,422.95x = 113,745.84 × 46,618.25
  4. Step 4: Simplify right side
    82,422.95x = 5,302,632,005.58
  5. Step 5: Solve for x
    x = 5,302,632,005.58/82,422.95
  6. Step 6: Final answer
    x = 64,334.41

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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.