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Finding the Fourth Proportional to 42,771.75, 64,161.21 and 15,761.45

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Solution

The fourth proportional to 42,771.75, 64,161.21 and 15,761.45 is: 23,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771.75 : 64,161.21 = 15,761.45 : x
  2. Step 2: Convert to fraction form
    42,771.75/64,161.21 = 15,761.45/x
  3. Step 3: Cross multiply
    42,771.75x = 64,161.21 × 15,761.45
  4. Step 4: Simplify right side
    42,771.75x = 1,011,273,382.55
  5. Step 5: Solve for x
    x = 1,011,273,382.55/42,771.75
  6. Step 6: Final answer
    x = 23,643.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.