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Finding the Fourth Proportional to 30,850.75, 42,571.70 and 17,420.14

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Solution

The fourth proportional to 30,850.75, 42,571.70 and 17,420.14 is: 24,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.75 : 42,571.70 = 17,420.14 : x
  2. Step 2: Convert to fraction form
    30,850.75/42,571.70 = 17,420.14/x
  3. Step 3: Cross multiply
    30,850.75x = 42,571.70 × 17,420.14
  4. Step 4: Simplify right side
    30,850.75x = 741,604,780.51
  5. Step 5: Solve for x
    x = 741,604,780.51/30,850.75
  6. Step 6: Final answer
    x = 24,038.47

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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.