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Finding the Fourth Proportional to 30,571.46, 42,170.71 and 19,222.98

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Solution

The fourth proportional to 30,571.46, 42,170.71 and 19,222.98 is: 26,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.46 : 42,170.71 = 19,222.98 : x
  2. Step 2: Convert to fraction form
    30,571.46/42,170.71 = 19,222.98/x
  3. Step 3: Cross multiply
    30,571.46x = 42,170.71 × 19,222.98
  4. Step 4: Simplify right side
    30,571.46x = 810,646,714.92
  5. Step 5: Solve for x
    x = 810,646,714.92/30,571.46
  6. Step 6: Final answer
    x = 26,516.45

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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.