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Finding the Fourth Proportional to 157,324.97, 235,983.13 and 38,993.69

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Solution

The fourth proportional to 157,324.97, 235,983.13 and 38,993.69 is: 58,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,324.97 : 235,983.13 = 38,993.69 : x
  2. Step 2: Convert to fraction form
    157,324.97/235,983.13 = 38,993.69/x
  3. Step 3: Cross multiply
    157,324.97x = 235,983.13 × 38,993.69
  4. Step 4: Simplify right side
    157,324.97x = 9,201,851,739.05
  5. Step 5: Solve for x
    x = 9,201,851,739.05/157,324.97
  6. Step 6: Final answer
    x = 58,489.46

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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.