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Finding the Fourth Proportional to 71,488.73, 107,163.34 and 34,038.74

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Solution

The fourth proportional to 71,488.73, 107,163.34 and 34,038.74 is: 51,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488.73 : 107,163.34 = 34,038.74 : x
  2. Step 2: Convert to fraction form
    71,488.73/107,163.34 = 34,038.74/x
  3. Step 3: Cross multiply
    71,488.73x = 107,163.34 × 34,038.74
  4. Step 4: Simplify right side
    71,488.73x = 3,647,704,531.97
  5. Step 5: Solve for x
    x = 3,647,704,531.97/71,488.73
  6. Step 6: Final answer
    x = 51,024.89

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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.