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Finding the Fourth Proportional to 30,568.59, 42,185.10 and 17,821.42

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Solution

The fourth proportional to 30,568.59, 42,185.10 and 17,821.42 is: 24,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.59 : 42,185.10 = 17,821.42 : x
  2. Step 2: Convert to fraction form
    30,568.59/42,185.10 = 17,821.42/x
  3. Step 3: Cross multiply
    30,568.59x = 42,185.10 × 17,821.42
  4. Step 4: Simplify right side
    30,568.59x = 751,798,346.21
  5. Step 5: Solve for x
    x = 751,798,346.21/30,568.59
  6. Step 6: Final answer
    x = 24,593.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.