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Finding the Fourth Proportional to 30,570.30, 42,189.03 and 17,142.41

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Solution

The fourth proportional to 30,570.30, 42,189.03 and 17,142.41 is: 23,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.30 : 42,189.03 = 17,142.41 : x
  2. Step 2: Convert to fraction form
    30,570.30/42,189.03 = 17,142.41/x
  3. Step 3: Cross multiply
    30,570.30x = 42,189.03 × 17,142.41
  4. Step 4: Simplify right side
    30,570.30x = 723,221,755.23
  5. Step 5: Solve for x
    x = 723,221,755.23/30,570.30
  6. Step 6: Final answer
    x = 23,657.66

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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.