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Finding the Fourth Proportional to 84,734.10, 116,889.21 and 57,500.82

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Solution

The fourth proportional to 84,734.10, 116,889.21 and 57,500.82 is: 79,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,734.10 : 116,889.21 = 57,500.82 : x
  2. Step 2: Convert to fraction form
    84,734.10/116,889.21 = 57,500.82/x
  3. Step 3: Cross multiply
    84,734.10x = 116,889.21 × 57,500.82
  4. Step 4: Simplify right side
    84,734.10x = 6,721,225,424.15
  5. Step 5: Solve for x
    x = 6,721,225,424.15/84,734.10
  6. Step 6: Final answer
    x = 79,321.38

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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.