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Finding the Fourth Proportional to 38,193.50, 52,707.21 and 21,426.50

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Solution

The fourth proportional to 38,193.50, 52,707.21 and 21,426.50 is: 29,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.50 : 52,707.21 = 21,426.50 : x
  2. Step 2: Convert to fraction form
    38,193.50/52,707.21 = 21,426.50/x
  3. Step 3: Cross multiply
    38,193.50x = 52,707.21 × 21,426.50
  4. Step 4: Simplify right side
    38,193.50x = 1,129,331,035.07
  5. Step 5: Solve for x
    x = 1,129,331,035.07/38,193.50
  6. Step 6: Final answer
    x = 29,568.67

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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.