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Finding the Fourth Proportional to 84,074.96, 126,085.01 and 27,899.98

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Solution

The fourth proportional to 84,074.96, 126,085.01 and 27,899.98 is: 41,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.96 : 126,085.01 = 27,899.98 : x
  2. Step 2: Convert to fraction form
    84,074.96/126,085.01 = 27,899.98/x
  3. Step 3: Cross multiply
    84,074.96x = 126,085.01 × 27,899.98
  4. Step 4: Simplify right side
    84,074.96x = 3,517,769,334.51
  5. Step 5: Solve for x
    x = 3,517,769,334.51/84,074.96
  6. Step 6: Final answer
    x = 41,840.87

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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.