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Finding the Fourth Proportional to 83,009.46, 114,556.26 and 47,202.72

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Solution

The fourth proportional to 83,009.46, 114,556.26 and 47,202.72 is: 65,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.46 : 114,556.26 = 47,202.72 : x
  2. Step 2: Convert to fraction form
    83,009.46/114,556.26 = 47,202.72/x
  3. Step 3: Cross multiply
    83,009.46x = 114,556.26 × 47,202.72
  4. Step 4: Simplify right side
    83,009.46x = 5,407,367,065.03
  5. Step 5: Solve for x
    x = 5,407,367,065.03/83,009.46
  6. Step 6: Final answer
    x = 65,141.58

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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.