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Finding the Fourth Proportional to 82,135.59, 113,342.46 and 46,323.46

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Solution

The fourth proportional to 82,135.59, 113,342.46 and 46,323.46 is: 63,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.59 : 113,342.46 = 46,323.46 : x
  2. Step 2: Convert to fraction form
    82,135.59/113,342.46 = 46,323.46/x
  3. Step 3: Cross multiply
    82,135.59x = 113,342.46 × 46,323.46
  4. Step 4: Simplify right side
    82,135.59x = 5,250,414,880.08
  5. Step 5: Solve for x
    x = 5,250,414,880.08/82,135.59
  6. Step 6: Final answer
    x = 63,923.75

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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.