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Finding the Fourth Proportional to 47,369.20, 71,040.84 and 17,784.76

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Solution

The fourth proportional to 47,369.20, 71,040.84 and 17,784.76 is: 26,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,369.20 : 71,040.84 = 17,784.76 : x
  2. Step 2: Convert to fraction form
    47,369.20/71,040.84 = 17,784.76/x
  3. Step 3: Cross multiply
    47,369.20x = 71,040.84 × 17,784.76
  4. Step 4: Simplify right side
    47,369.20x = 1,263,444,289.60
  5. Step 5: Solve for x
    x = 1,263,444,289.60/47,369.20
  6. Step 6: Final answer
    x = 26,672.27

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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.