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Finding the Fourth Proportional to 82,794.30, 114,252.95 and 46,982.18

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Solution

The fourth proportional to 82,794.30, 114,252.95 and 46,982.18 is: 64,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.30 : 114,252.95 = 46,982.18 : x
  2. Step 2: Convert to fraction form
    82,794.30/114,252.95 = 46,982.18/x
  3. Step 3: Cross multiply
    82,794.30x = 114,252.95 × 46,982.18
  4. Step 4: Simplify right side
    82,794.30x = 5,367,852,662.43
  5. Step 5: Solve for x
    x = 5,367,852,662.43/82,794.30
  6. Step 6: Final answer
    x = 64,833.60

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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.