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Finding the Fourth Proportional to 82,068.22, 113,252.56 and 46,257.54

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Solution

The fourth proportional to 82,068.22, 113,252.56 and 46,257.54 is: 63,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,068.22 : 113,252.56 = 46,257.54 : x
  2. Step 2: Convert to fraction form
    82,068.22/113,252.56 = 46,257.54/x
  3. Step 3: Cross multiply
    82,068.22x = 113,252.56 × 46,257.54
  4. Step 4: Simplify right side
    82,068.22x = 5,238,784,824.30
  5. Step 5: Solve for x
    x = 5,238,784,824.30/82,068.22
  6. Step 6: Final answer
    x = 63,834.51

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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.