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Finding the Fourth Proportional to 82,415.95, 113,734.02 and 44,690.20

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Solution

The fourth proportional to 82,415.95, 113,734.02 and 44,690.20 is: 61,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.95 : 113,734.02 = 44,690.20 : x
  2. Step 2: Convert to fraction form
    82,415.95/113,734.02 = 44,690.20/x
  3. Step 3: Cross multiply
    82,415.95x = 113,734.02 × 44,690.20
  4. Step 4: Simplify right side
    82,415.95x = 5,082,796,246.54
  5. Step 5: Solve for x
    x = 5,082,796,246.54/82,415.95
  6. Step 6: Final answer
    x = 61,672.48

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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.