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Finding the Fourth Proportional to 34,542.79, 51,772.16 and 19,512.63

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Solution

The fourth proportional to 34,542.79, 51,772.16 and 19,512.63 is: 29,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.79 : 51,772.16 = 19,512.63 : x
  2. Step 2: Convert to fraction form
    34,542.79/51,772.16 = 19,512.63/x
  3. Step 3: Cross multiply
    34,542.79x = 51,772.16 × 19,512.63
  4. Step 4: Simplify right side
    34,542.79x = 1,010,211,051.16
  5. Step 5: Solve for x
    x = 1,010,211,051.16/34,542.79
  6. Step 6: Final answer
    x = 29,245.21

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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.