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Finding the Fourth Proportional to 31,904.85, 47,855.53 and 9,716.37

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Solution

The fourth proportional to 31,904.85, 47,855.53 and 9,716.37 is: 14,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.85 : 47,855.53 = 9,716.37 : x
  2. Step 2: Convert to fraction form
    31,904.85/47,855.53 = 9,716.37/x
  3. Step 3: Cross multiply
    31,904.85x = 47,855.53 × 9,716.37
  4. Step 4: Simplify right side
    31,904.85x = 464,981,814.06
  5. Step 5: Solve for x
    x = 464,981,814.06/31,904.85
  6. Step 6: Final answer
    x = 14,574.02

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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.