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Finding the Fourth Proportional to 76,684.46, 105,790.46 and 44,839.31

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Solution

The fourth proportional to 76,684.46, 105,790.46 and 44,839.31 is: 61,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.46 : 105,790.46 = 44,839.31 : x
  2. Step 2: Convert to fraction form
    76,684.46/105,790.46 = 44,839.31/x
  3. Step 3: Cross multiply
    76,684.46x = 105,790.46 × 44,839.31
  4. Step 4: Simplify right side
    76,684.46x = 4,743,570,477.83
  5. Step 5: Solve for x
    x = 4,743,570,477.83/76,684.46
  6. Step 6: Final answer
    x = 61,858.31

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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.