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Finding the Fourth Proportional to 84,227.38, 116,234.06 and 45,987.01

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Solution

The fourth proportional to 84,227.38, 116,234.06 and 45,987.01 is: 63,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,227.38 : 116,234.06 = 45,987.01 : x
  2. Step 2: Convert to fraction form
    84,227.38/116,234.06 = 45,987.01/x
  3. Step 3: Cross multiply
    84,227.38x = 116,234.06 × 45,987.01
  4. Step 4: Simplify right side
    84,227.38x = 5,345,256,359.04
  5. Step 5: Solve for x
    x = 5,345,256,359.04/84,227.38
  6. Step 6: Final answer
    x = 63,462.22

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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.