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Finding the Fourth Proportional to 82,433.10, 113,757.82 and 44,707.38

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Solution

The fourth proportional to 82,433.10, 113,757.82 and 44,707.38 is: 61,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.10 : 113,757.82 = 44,707.38 : x
  2. Step 2: Convert to fraction form
    82,433.10/113,757.82 = 44,707.38/x
  3. Step 3: Cross multiply
    82,433.10x = 113,757.82 × 44,707.38
  4. Step 4: Simplify right side
    82,433.10x = 5,085,814,086.71
  5. Step 5: Solve for x
    x = 5,085,814,086.71/82,433.10
  6. Step 6: Final answer
    x = 61,696.26

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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.