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Finding the Fourth Proportional to 76,313.38, 105,334.41 and 46,093.90

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Solution

The fourth proportional to 76,313.38, 105,334.41 and 46,093.90 is: 63,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,313.38 : 105,334.41 = 46,093.90 : x
  2. Step 2: Convert to fraction form
    76,313.38/105,334.41 = 46,093.90/x
  3. Step 3: Cross multiply
    76,313.38x = 105,334.41 × 46,093.90
  4. Step 4: Simplify right side
    76,313.38x = 4,855,273,761.10
  5. Step 5: Solve for x
    x = 4,855,273,761.10/76,313.38
  6. Step 6: Final answer
    x = 63,622.84

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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.