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Finding the Fourth Proportional to 38,096.76, 52,565.04 and 22,991.88

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Solution

The fourth proportional to 38,096.76, 52,565.04 and 22,991.88 is: 31,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.76 : 52,565.04 = 22,991.88 : x
  2. Step 2: Convert to fraction form
    38,096.76/52,565.04 = 22,991.88/x
  3. Step 3: Cross multiply
    38,096.76x = 52,565.04 × 22,991.88
  4. Step 4: Simplify right side
    38,096.76x = 1,208,569,091.88
  5. Step 5: Solve for x
    x = 1,208,569,091.88/38,096.76
  6. Step 6: Final answer
    x = 31,723.67

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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.