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Finding the Fourth Proportional to 38,306, 52,861.76 and 21,539.04

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Solution

The fourth proportional to 38,306, 52,861.76 and 21,539.04 is: 29,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306 : 52,861.76 = 21,539.04 : x
  2. Step 2: Convert to fraction form
    38,306/52,861.76 = 21,539.04/x
  3. Step 3: Cross multiply
    38,306x = 52,861.76 × 21,539.04
  4. Step 4: Simplify right side
    38,306x = 1,138,591,563.11
  5. Step 5: Solve for x
    x = 1,138,591,563.11/38,306
  6. Step 6: Final answer
    x = 29,723.58

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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.