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Finding the Fourth Proportional to 35,744.67, 53,582.14 and 17,019.68

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Solution

The fourth proportional to 35,744.67, 53,582.14 and 17,019.68 is: 25,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.67 : 53,582.14 = 17,019.68 : x
  2. Step 2: Convert to fraction form
    35,744.67/53,582.14 = 17,019.68/x
  3. Step 3: Cross multiply
    35,744.67x = 53,582.14 × 17,019.68
  4. Step 4: Simplify right side
    35,744.67x = 911,950,629.88
  5. Step 5: Solve for x
    x = 911,950,629.88/35,744.67
  6. Step 6: Final answer
    x = 25,512.91

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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.