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Finding the Fourth Proportional to 38,108.50, 52,588.75 and 20,880.74

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Solution

The fourth proportional to 38,108.50, 52,588.75 and 20,880.74 is: 28,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,108.50 : 52,588.75 = 20,880.74 : x
  2. Step 2: Convert to fraction form
    38,108.50/52,588.75 = 20,880.74/x
  3. Step 3: Cross multiply
    38,108.50x = 52,588.75 × 20,880.74
  4. Step 4: Simplify right side
    38,108.50x = 1,098,092,015.68
  5. Step 5: Solve for x
    x = 1,098,092,015.68/38,108.50
  6. Step 6: Final answer
    x = 28,814.88

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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.