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Finding the Fourth Proportional to 76,106.90, 105,022.68 and 41,644.64

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Solution

The fourth proportional to 76,106.90, 105,022.68 and 41,644.64 is: 57,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.90 : 105,022.68 = 41,644.64 : x
  2. Step 2: Convert to fraction form
    76,106.90/105,022.68 = 41,644.64/x
  3. Step 3: Cross multiply
    76,106.90x = 105,022.68 × 41,644.64
  4. Step 4: Simplify right side
    76,106.90x = 4,373,631,175.32
  5. Step 5: Solve for x
    x = 4,373,631,175.32/76,106.90
  6. Step 6: Final answer
    x = 57,466.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.