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Finding the Fourth Proportional to 96,189.48, 132,744.42 and 53,749.80

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Solution

The fourth proportional to 96,189.48, 132,744.42 and 53,749.80 is: 74,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,189.48 : 132,744.42 = 53,749.80 : x
  2. Step 2: Convert to fraction form
    96,189.48/132,744.42 = 53,749.80/x
  3. Step 3: Cross multiply
    96,189.48x = 132,744.42 × 53,749.80
  4. Step 4: Simplify right side
    96,189.48x = 7,134,986,026.12
  5. Step 5: Solve for x
    x = 7,134,986,026.12/96,189.48
  6. Step 6: Final answer
    x = 74,176.37

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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.