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Finding the Fourth Proportional to 36,655.88, 54,983.81 and 13,282.31

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Solution

The fourth proportional to 36,655.88, 54,983.81 and 13,282.31 is: 19,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,655.88 : 54,983.81 = 13,282.31 : x
  2. Step 2: Convert to fraction form
    36,655.88/54,983.81 = 13,282.31/x
  3. Step 3: Cross multiply
    36,655.88x = 54,983.81 × 13,282.31
  4. Step 4: Simplify right side
    36,655.88x = 730,312,180.07
  5. Step 5: Solve for x
    x = 730,312,180.07/36,655.88
  6. Step 6: Final answer
    x = 19,923.47

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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.