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Finding the Fourth Proportional to 38,217.50, 52,740.15 and 21,450.50

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Solution

The fourth proportional to 38,217.50, 52,740.15 and 21,450.50 is: 29,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217.50 : 52,740.15 = 21,450.50 : x
  2. Step 2: Convert to fraction form
    38,217.50/52,740.15 = 21,450.50/x
  3. Step 3: Cross multiply
    38,217.50x = 52,740.15 × 21,450.50
  4. Step 4: Simplify right side
    38,217.50x = 1,131,302,587.58
  5. Step 5: Solve for x
    x = 1,131,302,587.58/38,217.50
  6. Step 6: Final answer
    x = 29,601.69

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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.