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Finding the Fourth Proportional to 81,877.96, 122,851.50 and 34,504.84

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Solution

The fourth proportional to 81,877.96, 122,851.50 and 34,504.84 is: 51,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.96 : 122,851.50 = 34,504.84 : x
  2. Step 2: Convert to fraction form
    81,877.96/122,851.50 = 34,504.84/x
  3. Step 3: Cross multiply
    81,877.96x = 122,851.50 × 34,504.84
  4. Step 4: Simplify right side
    81,877.96x = 4,238,971,351.26
  5. Step 5: Solve for x
    x = 4,238,971,351.26/81,877.96
  6. Step 6: Final answer
    x = 51,771.82

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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.