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Finding the Fourth Proportional to 41,056.40, 61,584.49 and 9,891.65

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Solution

The fourth proportional to 41,056.40, 61,584.49 and 9,891.65 is: 14,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,056.40 : 61,584.49 = 9,891.65 : x
  2. Step 2: Convert to fraction form
    41,056.40/61,584.49 = 9,891.65/x
  3. Step 3: Cross multiply
    41,056.40x = 61,584.49 × 9,891.65
  4. Step 4: Simplify right side
    41,056.40x = 609,171,863.13
  5. Step 5: Solve for x
    x = 609,171,863.13/41,056.40
  6. Step 6: Final answer
    x = 14,837.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.