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Finding the Fourth Proportional to 32,447.76, 44,769.42 and 19,011.81

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Solution

The fourth proportional to 32,447.76, 44,769.42 and 19,011.81 is: 26,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.76 : 44,769.42 = 19,011.81 : x
  2. Step 2: Convert to fraction form
    32,447.76/44,769.42 = 19,011.81/x
  3. Step 3: Cross multiply
    32,447.76x = 44,769.42 × 19,011.81
  4. Step 4: Simplify right side
    32,447.76x = 851,147,706.85
  5. Step 5: Solve for x
    x = 851,147,706.85/32,447.76
  6. Step 6: Final answer
    x = 26,231.32

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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.