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Finding the Fourth Proportional to 82,734.78, 114,175.96 and 46,927.20

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Solution

The fourth proportional to 82,734.78, 114,175.96 and 46,927.20 is: 64,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,734.78 : 114,175.96 = 46,927.20 : x
  2. Step 2: Convert to fraction form
    82,734.78/114,175.96 = 46,927.20/x
  3. Step 3: Cross multiply
    82,734.78x = 114,175.96 × 46,927.20
  4. Step 4: Simplify right side
    82,734.78x = 5,357,958,110.11
  5. Step 5: Solve for x
    x = 5,357,958,110.11/82,734.78
  6. Step 6: Final answer
    x = 64,760.65

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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.