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Finding the Fourth Proportional to 96,494.31, 144,782.78 and 40,347.54

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Solution

The fourth proportional to 96,494.31, 144,782.78 and 40,347.54 is: 60,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,494.31 : 144,782.78 = 40,347.54 : x
  2. Step 2: Convert to fraction form
    96,494.31/144,782.78 = 40,347.54/x
  3. Step 3: Cross multiply
    96,494.31x = 144,782.78 × 40,347.54
  4. Step 4: Simplify right side
    96,494.31x = 5,841,628,805.62
  5. Step 5: Solve for x
    x = 5,841,628,805.62/96,494.31
  6. Step 6: Final answer
    x = 60,538.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.