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Finding the Fourth Proportional to 47,644.67, 71,468.49 and 17,666.37

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Solution

The fourth proportional to 47,644.67, 71,468.49 and 17,666.37 is: 26,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.67 : 71,468.49 = 17,666.37 : x
  2. Step 2: Convert to fraction form
    47,644.67/71,468.49 = 17,666.37/x
  3. Step 3: Cross multiply
    47,644.67x = 71,468.49 × 17,666.37
  4. Step 4: Simplify right side
    47,644.67x = 1,262,588,853.93
  5. Step 5: Solve for x
    x = 1,262,588,853.93/47,644.67
  6. Step 6: Final answer
    x = 26,500.11

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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.