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Finding the Fourth Proportional to 36,877.60, 50,895.66 and 22,534.48

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Solution

The fourth proportional to 36,877.60, 50,895.66 and 22,534.48 is: 31,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,877.60 : 50,895.66 = 22,534.48 : x
  2. Step 2: Convert to fraction form
    36,877.60/50,895.66 = 22,534.48/x
  3. Step 3: Cross multiply
    36,877.60x = 50,895.66 × 22,534.48
  4. Step 4: Simplify right side
    36,877.60x = 1,146,907,232.36
  5. Step 5: Solve for x
    x = 1,146,907,232.36/36,877.60
  6. Step 6: Final answer
    x = 31,100.38

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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.