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Finding the Fourth Proportional to 82,195.45, 113,435.72 and 46,388.59

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Solution

The fourth proportional to 82,195.45, 113,435.72 and 46,388.59 is: 64,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,195.45 : 113,435.72 = 46,388.59 : x
  2. Step 2: Convert to fraction form
    82,195.45/113,435.72 = 46,388.59/x
  3. Step 3: Cross multiply
    82,195.45x = 113,435.72 × 46,388.59
  4. Step 4: Simplify right side
    82,195.45x = 5,262,123,106.43
  5. Step 5: Solve for x
    x = 5,262,123,106.43/82,195.45
  6. Step 6: Final answer
    x = 64,019.64

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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.