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Finding the Fourth Proportional to 84,080.21, 116,010.51 and 47,773.67

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Solution

The fourth proportional to 84,080.21, 116,010.51 and 47,773.67 is: 65,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,080.21 : 116,010.51 = 47,773.67 : x
  2. Step 2: Convert to fraction form
    84,080.21/116,010.51 = 47,773.67/x
  3. Step 3: Cross multiply
    84,080.21x = 116,010.51 × 47,773.67
  4. Step 4: Simplify right side
    84,080.21x = 5,542,247,821.27
  5. Step 5: Solve for x
    x = 5,542,247,821.27/84,080.21
  6. Step 6: Final answer
    x = 65,916.20

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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.