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Finding the Fourth Proportional to 82,195.80, 113,428.26 and 46,387.32

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Solution

The fourth proportional to 82,195.80, 113,428.26 and 46,387.32 is: 64,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,195.80 : 113,428.26 = 46,387.32 : x
  2. Step 2: Convert to fraction form
    82,195.80/113,428.26 = 46,387.32/x
  3. Step 3: Cross multiply
    82,195.80x = 113,428.26 × 46,387.32
  4. Step 4: Simplify right side
    82,195.80x = 5,261,632,993.66
  5. Step 5: Solve for x
    x = 5,261,632,993.66/82,195.80
  6. Step 6: Final answer
    x = 64,013.40

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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.