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Finding the Fourth Proportional to 43,807.34, 65,711 and 10,527.41

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Solution

The fourth proportional to 43,807.34, 65,711 and 10,527.41 is: 15,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.34 : 65,711 = 10,527.41 : x
  2. Step 2: Convert to fraction form
    43,807.34/65,711 = 10,527.41/x
  3. Step 3: Cross multiply
    43,807.34x = 65,711 × 10,527.41
  4. Step 4: Simplify right side
    43,807.34x = 691,766,309.96
  5. Step 5: Solve for x
    x = 691,766,309.96/43,807.34
  6. Step 6: Final answer
    x = 15,791.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.