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Finding the Fourth Proportional to 84,897.12, 117,162 and 47,172

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Solution

The fourth proportional to 84,897.12, 117,162 and 47,172 is: 65,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897.12 : 117,162 = 47,172 : x
  2. Step 2: Convert to fraction form
    84,897.12/117,162 = 47,172/x
  3. Step 3: Cross multiply
    84,897.12x = 117,162 × 47,172
  4. Step 4: Simplify right side
    84,897.12x = 5,526,765,864
  5. Step 5: Solve for x
    x = 5,526,765,864/84,897.12
  6. Step 6: Final answer
    x = 65,099.57

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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.