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Finding the Fourth Proportional to 82,164.06, 113,383.80 and 46,353.60

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Solution

The fourth proportional to 82,164.06, 113,383.80 and 46,353.60 is: 63,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.06 : 113,383.80 = 46,353.60 : x
  2. Step 2: Convert to fraction form
    82,164.06/113,383.80 = 46,353.60/x
  3. Step 3: Cross multiply
    82,164.06x = 113,383.80 × 46,353.60
  4. Step 4: Simplify right side
    82,164.06x = 5,255,747,311.68
  5. Step 5: Solve for x
    x = 5,255,747,311.68/82,164.06
  6. Step 6: Final answer
    x = 63,966.50

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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.