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Finding the Fourth Proportional to 75,887.79, 113,811.83 and 22,565.41

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Solution

The fourth proportional to 75,887.79, 113,811.83 and 22,565.41 is: 33,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,887.79 : 113,811.83 = 22,565.41 : x
  2. Step 2: Convert to fraction form
    75,887.79/113,811.83 = 22,565.41/x
  3. Step 3: Cross multiply
    75,887.79x = 113,811.83 × 22,565.41
  4. Step 4: Simplify right side
    75,887.79x = 2,568,210,741.09
  5. Step 5: Solve for x
    x = 2,568,210,741.09/75,887.79
  6. Step 6: Final answer
    x = 33,842.21

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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.