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Finding the Fourth Proportional to 101,514.38, 140,090.17 and 54,947.24

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Solution

The fourth proportional to 101,514.38, 140,090.17 and 54,947.24 is: 75,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,514.38 : 140,090.17 = 54,947.24 : x
  2. Step 2: Convert to fraction form
    101,514.38/140,090.17 = 54,947.24/x
  3. Step 3: Cross multiply
    101,514.38x = 140,090.17 × 54,947.24
  4. Step 4: Simplify right side
    101,514.38x = 7,697,567,354.81
  5. Step 5: Solve for x
    x = 7,697,567,354.81/101,514.38
  6. Step 6: Final answer
    x = 75,827.36

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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.