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Finding the Fourth Proportional to 34,145.98, 51,226.56 and 10,456.84

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Solution

The fourth proportional to 34,145.98, 51,226.56 and 10,456.84 is: 15,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145.98 : 51,226.56 = 10,456.84 : x
  2. Step 2: Convert to fraction form
    34,145.98/51,226.56 = 10,456.84/x
  3. Step 3: Cross multiply
    34,145.98x = 51,226.56 × 10,456.84
  4. Step 4: Simplify right side
    34,145.98x = 535,667,941.67
  5. Step 5: Solve for x
    x = 535,667,941.67/34,145.98
  6. Step 6: Final answer
    x = 15,687.58

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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.