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Finding the Fourth Proportional to 82,382.59, 113,691.77 and 46,574.11

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Solution

The fourth proportional to 82,382.59, 113,691.77 and 46,574.11 is: 64,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.59 : 113,691.77 = 46,574.11 : x
  2. Step 2: Convert to fraction form
    82,382.59/113,691.77 = 46,574.11/x
  3. Step 3: Cross multiply
    82,382.59x = 113,691.77 × 46,574.11
  4. Step 4: Simplify right side
    82,382.59x = 5,295,093,002.07
  5. Step 5: Solve for x
    x = 5,295,093,002.07/82,382.59
  6. Step 6: Final answer
    x = 64,274.42

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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.