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Finding the Fourth Proportional to 82,004.60, 113,165.71 and 46,206.15

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Solution

The fourth proportional to 82,004.60, 113,165.71 and 46,206.15 is: 63,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,004.60 : 113,165.71 = 46,206.15 : x
  2. Step 2: Convert to fraction form
    82,004.60/113,165.71 = 46,206.15/x
  3. Step 3: Cross multiply
    82,004.60x = 113,165.71 × 46,206.15
  4. Step 4: Simplify right side
    82,004.60x = 5,228,951,231.23
  5. Step 5: Solve for x
    x = 5,228,951,231.23/82,004.60
  6. Step 6: Final answer
    x = 63,764.12

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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.