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Finding the Fourth Proportional to 36,684.60, 55,020.78 and 10,382.82

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Solution

The fourth proportional to 36,684.60, 55,020.78 and 10,382.82 is: 15,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,684.60 : 55,020.78 = 10,382.82 : x
  2. Step 2: Convert to fraction form
    36,684.60/55,020.78 = 10,382.82/x
  3. Step 3: Cross multiply
    36,684.60x = 55,020.78 × 10,382.82
  4. Step 4: Simplify right side
    36,684.60x = 571,270,855.00
  5. Step 5: Solve for x
    x = 571,270,855.00/36,684.60
  6. Step 6: Final answer
    x = 15,572.50

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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.