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Finding the Fourth Proportional to 30,571.20, 42,187.70 and 17,142.42

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Solution

The fourth proportional to 30,571.20, 42,187.70 and 17,142.42 is: 23,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.20 : 42,187.70 = 17,142.42 : x
  2. Step 2: Convert to fraction form
    30,571.20/42,187.70 = 17,142.42/x
  3. Step 3: Cross multiply
    30,571.20x = 42,187.70 × 17,142.42
  4. Step 4: Simplify right side
    30,571.20x = 723,199,272.23
  5. Step 5: Solve for x
    x = 723,199,272.23/30,571.20
  6. Step 6: Final answer
    x = 23,656.23

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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.