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Finding the Fourth Proportional to 83,143.82, 114,738.44 and 44,903.38

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Solution

The fourth proportional to 83,143.82, 114,738.44 and 44,903.38 is: 61,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.82 : 114,738.44 = 44,903.38 : x
  2. Step 2: Convert to fraction form
    83,143.82/114,738.44 = 44,903.38/x
  3. Step 3: Cross multiply
    83,143.82x = 114,738.44 × 44,903.38
  4. Step 4: Simplify right side
    83,143.82x = 5,152,143,917.72
  5. Step 5: Solve for x
    x = 5,152,143,917.72/83,143.82
  6. Step 6: Final answer
    x = 61,966.65

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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.