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Finding the Fourth Proportional to 82,194.30, 113,426.19 and 46,385.82

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Solution

The fourth proportional to 82,194.30, 113,426.19 and 46,385.82 is: 64,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.30 : 113,426.19 = 46,385.82 : x
  2. Step 2: Convert to fraction form
    82,194.30/113,426.19 = 46,385.82/x
  3. Step 3: Cross multiply
    82,194.30x = 113,426.19 × 46,385.82
  4. Step 4: Simplify right side
    82,194.30x = 5,261,366,832.63
  5. Step 5: Solve for x
    x = 5,261,366,832.63/82,194.30
  6. Step 6: Final answer
    x = 64,011.33

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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.