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Finding the Fourth Proportional to 36,858.50, 55,309.16 and 15,509.64

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Solution

The fourth proportional to 36,858.50, 55,309.16 and 15,509.64 is: 23,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858.50 : 55,309.16 = 15,509.64 : x
  2. Step 2: Convert to fraction form
    36,858.50/55,309.16 = 15,509.64/x
  3. Step 3: Cross multiply
    36,858.50x = 55,309.16 × 15,509.64
  4. Step 4: Simplify right side
    36,858.50x = 857,825,082.75
  5. Step 5: Solve for x
    x = 857,825,082.75/36,858.50
  6. Step 6: Final answer
    x = 23,273.47

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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.