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Finding the Fourth Proportional to 84,996, 117,294.48 and 47,269.44

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Solution

The fourth proportional to 84,996, 117,294.48 and 47,269.44 is: 65,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,996 : 117,294.48 = 47,269.44 : x
  2. Step 2: Convert to fraction form
    84,996/117,294.48 = 47,269.44/x
  3. Step 3: Cross multiply
    84,996x = 117,294.48 × 47,269.44
  4. Step 4: Simplify right side
    84,996x = 5,544,444,384.69
  5. Step 5: Solve for x
    x = 5,544,444,384.69/84,996
  6. Step 6: Final answer
    x = 65,231.83

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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.