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Finding the Fourth Proportional to 47,684.79, 71,524.94 and 17,704.99

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Solution

The fourth proportional to 47,684.79, 71,524.94 and 17,704.99 is: 26,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.79 : 71,524.94 = 17,704.99 : x
  2. Step 2: Convert to fraction form
    47,684.79/71,524.94 = 17,704.99/x
  3. Step 3: Cross multiply
    47,684.79x = 71,524.94 × 17,704.99
  4. Step 4: Simplify right side
    47,684.79x = 1,266,348,473.81
  5. Step 5: Solve for x
    x = 1,266,348,473.81/47,684.79
  6. Step 6: Final answer
    x = 26,556.65

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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.