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Finding the Fourth Proportional to 100,041.56, 137,991.86 and 59,723.80

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Solution

The fourth proportional to 100,041.56, 137,991.86 and 59,723.80 is: 82,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.56 : 137,991.86 = 59,723.80 : x
  2. Step 2: Convert to fraction form
    100,041.56/137,991.86 = 59,723.80/x
  3. Step 3: Cross multiply
    100,041.56x = 137,991.86 × 59,723.80
  4. Step 4: Simplify right side
    100,041.56x = 8,241,398,248.27
  5. Step 5: Solve for x
    x = 8,241,398,248.27/100,041.56
  6. Step 6: Final answer
    x = 82,379.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.