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Finding the Fourth Proportional to 83,561.66, 125,276.74 and 41,412.77

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Solution

The fourth proportional to 83,561.66, 125,276.74 and 41,412.77 is: 62,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,561.66 : 125,276.74 = 41,412.77 : x
  2. Step 2: Convert to fraction form
    83,561.66/125,276.74 = 41,412.77/x
  3. Step 3: Cross multiply
    83,561.66x = 125,276.74 × 41,412.77
  4. Step 4: Simplify right side
    83,561.66x = 5,188,056,090.05
  5. Step 5: Solve for x
    x = 5,188,056,090.05/83,561.66
  6. Step 6: Final answer
    x = 62,086.56

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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.