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Finding the Fourth Proportional to 82,556.28, 113,890.98 and 53,869.32

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Solution

The fourth proportional to 82,556.28, 113,890.98 and 53,869.32 is: 74,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,556.28 : 113,890.98 = 53,869.32 : x
  2. Step 2: Convert to fraction form
    82,556.28/113,890.98 = 53,869.32/x
  3. Step 3: Cross multiply
    82,556.28x = 113,890.98 × 53,869.32
  4. Step 4: Simplify right side
    82,556.28x = 6,135,229,646.73
  5. Step 5: Solve for x
    x = 6,135,229,646.73/82,556.28
  6. Step 6: Final answer
    x = 74,315.72

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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.