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Finding the Fourth Proportional to 84,996.56, 117,299.40 and 47,270

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Solution

The fourth proportional to 84,996.56, 117,299.40 and 47,270 is: 65,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,996.56 : 117,299.40 = 47,270 : x
  2. Step 2: Convert to fraction form
    84,996.56/117,299.40 = 47,270/x
  3. Step 3: Cross multiply
    84,996.56x = 117,299.40 × 47,270
  4. Step 4: Simplify right side
    84,996.56x = 5,544,742,638
  5. Step 5: Solve for x
    x = 5,544,742,638/84,996.56
  6. Step 6: Final answer
    x = 65,234.91

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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.