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Finding the Fourth Proportional to 81,788.98, 122,683.32 and 25,633.40

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Solution

The fourth proportional to 81,788.98, 122,683.32 and 25,633.40 is: 38,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,788.98 : 122,683.32 = 25,633.40 : x
  2. Step 2: Convert to fraction form
    81,788.98/122,683.32 = 25,633.40/x
  3. Step 3: Cross multiply
    81,788.98x = 122,683.32 × 25,633.40
  4. Step 4: Simplify right side
    81,788.98x = 3,144,790,614.89
  5. Step 5: Solve for x
    x = 3,144,790,614.89/81,788.98
  6. Step 6: Final answer
    x = 38,450.05

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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.