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Finding the Fourth Proportional to 82,508.96, 113,857.20 and 46,706.24

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Solution

The fourth proportional to 82,508.96, 113,857.20 and 46,706.24 is: 64,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508.96 : 113,857.20 = 46,706.24 : x
  2. Step 2: Convert to fraction form
    82,508.96/113,857.20 = 46,706.24/x
  3. Step 3: Cross multiply
    82,508.96x = 113,857.20 × 46,706.24
  4. Step 4: Simplify right side
    82,508.96x = 5,317,841,708.93
  5. Step 5: Solve for x
    x = 5,317,841,708.93/82,508.96
  6. Step 6: Final answer
    x = 64,451.69

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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.