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Finding the Fourth Proportional to 34,043.80, 51,008.10 and 16,475.80

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Solution

The fourth proportional to 34,043.80, 51,008.10 and 16,475.80 is: 24,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043.80 : 51,008.10 = 16,475.80 : x
  2. Step 2: Convert to fraction form
    34,043.80/51,008.10 = 16,475.80/x
  3. Step 3: Cross multiply
    34,043.80x = 51,008.10 × 16,475.80
  4. Step 4: Simplify right side
    34,043.80x = 840,399,253.98
  5. Step 5: Solve for x
    x = 840,399,253.98/34,043.80
  6. Step 6: Final answer
    x = 24,685.82

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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.