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Finding the Fourth Proportional to 82,391.82, 113,706.54 and 46,582.17

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Solution

The fourth proportional to 82,391.82, 113,706.54 and 46,582.17 is: 64,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,391.82 : 113,706.54 = 46,582.17 : x
  2. Step 2: Convert to fraction form
    82,391.82/113,706.54 = 46,582.17/x
  3. Step 3: Cross multiply
    82,391.82x = 113,706.54 × 46,582.17
  4. Step 4: Simplify right side
    82,391.82x = 5,296,697,376.39
  5. Step 5: Solve for x
    x = 5,296,697,376.39/82,391.82
  6. Step 6: Final answer
    x = 64,286.69

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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.