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Finding the Fourth Proportional to 47,491.76, 71,211.30 and 19,431.50

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Solution

The fourth proportional to 47,491.76, 71,211.30 and 19,431.50 is: 29,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,491.76 : 71,211.30 = 19,431.50 : x
  2. Step 2: Convert to fraction form
    47,491.76/71,211.30 = 19,431.50/x
  3. Step 3: Cross multiply
    47,491.76x = 71,211.30 × 19,431.50
  4. Step 4: Simplify right side
    47,491.76x = 1,383,742,019.89
  5. Step 5: Solve for x
    x = 1,383,742,019.89/47,491.76
  6. Step 6: Final answer
    x = 29,136.47

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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.