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Finding the Fourth Proportional to 71,795.51, 107,759.75 and 36,281.82

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Solution

The fourth proportional to 71,795.51, 107,759.75 and 36,281.82 is: 54,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,795.51 : 107,759.75 = 36,281.82 : x
  2. Step 2: Convert to fraction form
    71,795.51/107,759.75 = 36,281.82/x
  3. Step 3: Cross multiply
    71,795.51x = 107,759.75 × 36,281.82
  4. Step 4: Simplify right side
    71,795.51x = 3,909,719,750.67
  5. Step 5: Solve for x
    x = 3,909,719,750.67/71,795.51
  6. Step 6: Final answer
    x = 54,456.33

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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.