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Finding the Fourth Proportional to 40,515.86, 55,914.69 and 22,614.36

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Solution

The fourth proportional to 40,515.86, 55,914.69 and 22,614.36 is: 31,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,515.86 : 55,914.69 = 22,614.36 : x
  2. Step 2: Convert to fraction form
    40,515.86/55,914.69 = 22,614.36/x
  3. Step 3: Cross multiply
    40,515.86x = 55,914.69 × 22,614.36
  4. Step 4: Simplify right side
    40,515.86x = 1,264,474,928.95
  5. Step 5: Solve for x
    x = 1,264,474,928.95/40,515.86
  6. Step 6: Final answer
    x = 31,209.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.