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Finding the Fourth Proportional to 34,534.80, 51,822.05 and 14,542.71

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Solution

The fourth proportional to 34,534.80, 51,822.05 and 14,542.71 is: 21,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.80 : 51,822.05 = 14,542.71 : x
  2. Step 2: Convert to fraction form
    34,534.80/51,822.05 = 14,542.71/x
  3. Step 3: Cross multiply
    34,534.80x = 51,822.05 × 14,542.71
  4. Step 4: Simplify right side
    34,534.80x = 753,633,081.11
  5. Step 5: Solve for x
    x = 753,633,081.11/34,534.80
  6. Step 6: Final answer
    x = 21,822.43

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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.