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Finding the Fourth Proportional to 82,921.08, 114,447.42 and 57,756

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Solution

The fourth proportional to 82,921.08, 114,447.42 and 57,756 is: 79,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,921.08 : 114,447.42 = 57,756 : x
  2. Step 2: Convert to fraction form
    82,921.08/114,447.42 = 57,756/x
  3. Step 3: Cross multiply
    82,921.08x = 114,447.42 × 57,756
  4. Step 4: Simplify right side
    82,921.08x = 6,610,025,189.52
  5. Step 5: Solve for x
    x = 6,610,025,189.52/82,921.08
  6. Step 6: Final answer
    x = 79,714.65

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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.