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Finding the Fourth Proportional to 54,502.96, 81,785.82 and 22,910.32

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Solution

The fourth proportional to 54,502.96, 81,785.82 and 22,910.32 is: 34,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.96 : 81,785.82 = 22,910.32 : x
  2. Step 2: Convert to fraction form
    54,502.96/81,785.82 = 22,910.32/x
  3. Step 3: Cross multiply
    54,502.96x = 81,785.82 × 22,910.32
  4. Step 4: Simplify right side
    54,502.96x = 1,873,739,307.66
  5. Step 5: Solve for x
    x = 1,873,739,307.66/54,502.96
  6. Step 6: Final answer
    x = 34,378.67

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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.