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Finding the Fourth Proportional to 71,833.80, 107,744.22 and 25,083.84

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Solution

The fourth proportional to 71,833.80, 107,744.22 and 25,083.84 is: 37,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.80 : 107,744.22 = 25,083.84 : x
  2. Step 2: Convert to fraction form
    71,833.80/107,744.22 = 25,083.84/x
  3. Step 3: Cross multiply
    71,833.80x = 107,744.22 × 25,083.84
  4. Step 4: Simplify right side
    71,833.80x = 2,702,638,775.40
  5. Step 5: Solve for x
    x = 2,702,638,775.40/71,833.80
  6. Step 6: Final answer
    x = 37,623.50

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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.