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Finding the Fourth Proportional to 82,269.16, 113,525.22 and 46,454.20

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Solution

The fourth proportional to 82,269.16, 113,525.22 and 46,454.20 is: 64,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,269.16 : 113,525.22 = 46,454.20 : x
  2. Step 2: Convert to fraction form
    82,269.16/113,525.22 = 46,454.20/x
  3. Step 3: Cross multiply
    82,269.16x = 113,525.22 × 46,454.20
  4. Step 4: Simplify right side
    82,269.16x = 5,273,723,274.92
  5. Step 5: Solve for x
    x = 5,273,723,274.92/82,269.16
  6. Step 6: Final answer
    x = 64,103.28

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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.