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Finding the Fourth Proportional to 47,614.80, 71,427.06 and 16,446

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Solution

The fourth proportional to 47,614.80, 71,427.06 and 16,446 is: 24,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,614.80 : 71,427.06 = 16,446 : x
  2. Step 2: Convert to fraction form
    47,614.80/71,427.06 = 16,446/x
  3. Step 3: Cross multiply
    47,614.80x = 71,427.06 × 16,446
  4. Step 4: Simplify right side
    47,614.80x = 1,174,689,428.76
  5. Step 5: Solve for x
    x = 1,174,689,428.76/47,614.80
  6. Step 6: Final answer
    x = 24,670.68

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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.