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Finding the Fourth Proportional to 82,015.34, 113,181.18 and 46,205.34

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Solution

The fourth proportional to 82,015.34, 113,181.18 and 46,205.34 is: 63,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.34 : 113,181.18 = 46,205.34 : x
  2. Step 2: Convert to fraction form
    82,015.34/113,181.18 = 46,205.34/x
  3. Step 3: Cross multiply
    82,015.34x = 113,181.18 × 46,205.34
  4. Step 4: Simplify right side
    82,015.34x = 5,229,574,903.50
  5. Step 5: Solve for x
    x = 5,229,574,903.50/82,015.34
  6. Step 6: Final answer
    x = 63,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.