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Finding the Fourth Proportional to 82,194.95, 113,435.03 and 46,388.09

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Solution

The fourth proportional to 82,194.95, 113,435.03 and 46,388.09 is: 64,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.95 : 113,435.03 = 46,388.09 : x
  2. Step 2: Convert to fraction form
    82,194.95/113,435.03 = 46,388.09/x
  3. Step 3: Cross multiply
    82,194.95x = 113,435.03 × 46,388.09
  4. Step 4: Simplify right side
    82,194.95x = 5,262,034,148.85
  5. Step 5: Solve for x
    x = 5,262,034,148.85/82,194.95
  6. Step 6: Final answer
    x = 64,018.95

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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.