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Finding the Fourth Proportional to 49,125.35, 73,687.81 and 14,065

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Solution

The fourth proportional to 49,125.35, 73,687.81 and 14,065 is: 21,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125.35 : 73,687.81 = 14,065 : x
  2. Step 2: Convert to fraction form
    49,125.35/73,687.81 = 14,065/x
  3. Step 3: Cross multiply
    49,125.35x = 73,687.81 × 14,065
  4. Step 4: Simplify right side
    49,125.35x = 1,036,419,047.65
  5. Step 5: Solve for x
    x = 1,036,419,047.65/49,125.35
  6. Step 6: Final answer
    x = 21,097.44

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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.