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Finding the Fourth Proportional to 38,104.34, 52,585.88 and 22,996.76

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Solution

The fourth proportional to 38,104.34, 52,585.88 and 22,996.76 is: 31,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.34 : 52,585.88 = 22,996.76 : x
  2. Step 2: Convert to fraction form
    38,104.34/52,585.88 = 22,996.76/x
  3. Step 3: Cross multiply
    38,104.34x = 52,585.88 × 22,996.76
  4. Step 4: Simplify right side
    38,104.34x = 1,209,304,861.75
  5. Step 5: Solve for x
    x = 1,209,304,861.75/38,104.34
  6. Step 6: Final answer
    x = 31,736.67

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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.