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Finding the Fourth Proportional to 47,901.76, 71,885.48 and 16,737

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Solution

The fourth proportional to 47,901.76, 71,885.48 and 16,737 is: 25,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,901.76 : 71,885.48 = 16,737 : x
  2. Step 2: Convert to fraction form
    47,901.76/71,885.48 = 16,737/x
  3. Step 3: Cross multiply
    47,901.76x = 71,885.48 × 16,737
  4. Step 4: Simplify right side
    47,901.76x = 1,203,147,278.76
  5. Step 5: Solve for x
    x = 1,203,147,278.76/47,901.76
  6. Step 6: Final answer
    x = 25,116.97

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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.