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Finding the Fourth Proportional to 47,352.54, 71,014.14 and 16,180.50

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Solution

The fourth proportional to 47,352.54, 71,014.14 and 16,180.50 is: 24,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352.54 : 71,014.14 = 16,180.50 : x
  2. Step 2: Convert to fraction form
    47,352.54/71,014.14 = 16,180.50/x
  3. Step 3: Cross multiply
    47,352.54x = 71,014.14 × 16,180.50
  4. Step 4: Simplify right side
    47,352.54x = 1,149,044,292.27
  5. Step 5: Solve for x
    x = 1,149,044,292.27/47,352.54
  6. Step 6: Final answer
    x = 24,265.74

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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.