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Finding the Fourth Proportional to 36,114.95, 49,838.94 and 20,200.88

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Solution

The fourth proportional to 36,114.95, 49,838.94 and 20,200.88 is: 27,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.95 : 49,838.94 = 20,200.88 : x
  2. Step 2: Convert to fraction form
    36,114.95/49,838.94 = 20,200.88/x
  3. Step 3: Cross multiply
    36,114.95x = 49,838.94 × 20,200.88
  4. Step 4: Simplify right side
    36,114.95x = 1,006,790,197.07
  5. Step 5: Solve for x
    x = 1,006,790,197.07/36,114.95
  6. Step 6: Final answer
    x = 27,877.38

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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.