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Finding the Fourth Proportional to 33,881.76, 50,808.24 and 13,877.46

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Solution

The fourth proportional to 33,881.76, 50,808.24 and 13,877.46 is: 20,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,881.76 : 50,808.24 = 13,877.46 : x
  2. Step 2: Convert to fraction form
    33,881.76/50,808.24 = 13,877.46/x
  3. Step 3: Cross multiply
    33,881.76x = 50,808.24 × 13,877.46
  4. Step 4: Simplify right side
    33,881.76x = 705,089,318.27
  5. Step 5: Solve for x
    x = 705,089,318.27/33,881.76
  6. Step 6: Final answer
    x = 20,810.29

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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.