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Finding the Fourth Proportional to 92,329.40, 127,629.81 and 82,356.68

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Solution

The fourth proportional to 92,329.40, 127,629.81 and 82,356.68 is: 113,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,329.40 : 127,629.81 = 82,356.68 : x
  2. Step 2: Convert to fraction form
    92,329.40/127,629.81 = 82,356.68/x
  3. Step 3: Cross multiply
    92,329.40x = 127,629.81 × 82,356.68
  4. Step 4: Simplify right side
    92,329.40x = 10,511,167,739.71
  5. Step 5: Solve for x
    x = 10,511,167,739.71/92,329.40
  6. Step 6: Final answer
    x = 113,844.21

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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.