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Finding the Fourth Proportional to 84,573.17, 116,709.41 and 48,764.69

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Solution

The fourth proportional to 84,573.17, 116,709.41 and 48,764.69 is: 67,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,573.17 : 116,709.41 = 48,764.69 : x
  2. Step 2: Convert to fraction form
    84,573.17/116,709.41 = 48,764.69/x
  3. Step 3: Cross multiply
    84,573.17x = 116,709.41 × 48,764.69
  4. Step 4: Simplify right side
    84,573.17x = 5,691,297,737.10
  5. Step 5: Solve for x
    x = 5,691,297,737.10/84,573.17
  6. Step 6: Final answer
    x = 67,294.37

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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.