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Finding the Fourth Proportional to 30,571.57, 42,170.90 and 19,223.10

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Solution

The fourth proportional to 30,571.57, 42,170.90 and 19,223.10 is: 26,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.57 : 42,170.90 = 19,223.10 : x
  2. Step 2: Convert to fraction form
    30,571.57/42,170.90 = 19,223.10/x
  3. Step 3: Cross multiply
    30,571.57x = 42,170.90 × 19,223.10
  4. Step 4: Simplify right side
    30,571.57x = 810,655,331.67
  5. Step 5: Solve for x
    x = 810,655,331.67/30,571.57
  6. Step 6: Final answer
    x = 26,516.64

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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.