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Finding the Fourth Proportional to 30,829.38, 42,544.50 and 17,403.48

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Solution

The fourth proportional to 30,829.38, 42,544.50 and 17,403.48 is: 24,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.38 : 42,544.50 = 17,403.48 : x
  2. Step 2: Convert to fraction form
    30,829.38/42,544.50 = 17,403.48/x
  3. Step 3: Cross multiply
    30,829.38x = 42,544.50 × 17,403.48
  4. Step 4: Simplify right side
    30,829.38x = 740,422,354.86
  5. Step 5: Solve for x
    x = 740,422,354.86/30,829.38
  6. Step 6: Final answer
    x = 24,016.78

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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.