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Finding the Fourth Proportional to 83,684.60, 125,417.55 and 33,723.80

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Solution

The fourth proportional to 83,684.60, 125,417.55 and 33,723.80 is: 50,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,684.60 : 125,417.55 = 33,723.80 : x
  2. Step 2: Convert to fraction form
    83,684.60/125,417.55 = 33,723.80/x
  3. Step 3: Cross multiply
    83,684.60x = 125,417.55 × 33,723.80
  4. Step 4: Simplify right side
    83,684.60x = 4,229,556,372.69
  5. Step 5: Solve for x
    x = 4,229,556,372.69/83,684.60
  6. Step 6: Final answer
    x = 50,541.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.