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Finding the Fourth Proportional to 83,007.90, 114,556.32 and 47,201.25

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Solution

The fourth proportional to 83,007.90, 114,556.32 and 47,201.25 is: 65,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.90 : 114,556.32 = 47,201.25 : x
  2. Step 2: Convert to fraction form
    83,007.90/114,556.32 = 47,201.25/x
  3. Step 3: Cross multiply
    83,007.90x = 114,556.32 × 47,201.25
  4. Step 4: Simplify right side
    83,007.90x = 5,407,201,499.40
  5. Step 5: Solve for x
    x = 5,407,201,499.40/83,007.90
  6. Step 6: Final answer
    x = 65,140.81

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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.