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Finding the Fourth Proportional to 41,740.75, 62,614.77 and 10,576

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Solution

The fourth proportional to 41,740.75, 62,614.77 and 10,576 is: 15,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,740.75 : 62,614.77 = 10,576 : x
  2. Step 2: Convert to fraction form
    41,740.75/62,614.77 = 10,576/x
  3. Step 3: Cross multiply
    41,740.75x = 62,614.77 × 10,576
  4. Step 4: Simplify right side
    41,740.75x = 662,213,807.52
  5. Step 5: Solve for x
    x = 662,213,807.52/41,740.75
  6. Step 6: Final answer
    x = 15,864.92

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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.