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Finding the Fourth Proportional to 82,556.33, 113,945.87 and 54,264.65

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Solution

The fourth proportional to 82,556.33, 113,945.87 and 54,264.65 is: 74,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,556.33 : 113,945.87 = 54,264.65 : x
  2. Step 2: Convert to fraction form
    82,556.33/113,945.87 = 54,264.65/x
  3. Step 3: Cross multiply
    82,556.33x = 113,945.87 × 54,264.65
  4. Step 4: Simplify right side
    82,556.33x = 6,183,232,320.43
  5. Step 5: Solve for x
    x = 6,183,232,320.43/82,556.33
  6. Step 6: Final answer
    x = 74,897.14

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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.