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Finding the Fourth Proportional to 82,902.96, 114,424.56 and 52,682.38

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Solution

The fourth proportional to 82,902.96, 114,424.56 and 52,682.38 is: 72,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.96 : 114,424.56 = 52,682.38 : x
  2. Step 2: Convert to fraction form
    82,902.96/114,424.56 = 52,682.38/x
  3. Step 3: Cross multiply
    82,902.96x = 114,424.56 × 52,682.38
  4. Step 4: Simplify right side
    82,902.96x = 6,028,158,151.25
  5. Step 5: Solve for x
    x = 6,028,158,151.25/82,902.96
  6. Step 6: Final answer
    x = 72,713.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.