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Finding the Fourth Proportional to 31,859.65, 47,786.38 and 9,673.22

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Solution

The fourth proportional to 31,859.65, 47,786.38 and 9,673.22 is: 14,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.65 : 47,786.38 = 9,673.22 : x
  2. Step 2: Convert to fraction form
    31,859.65/47,786.38 = 9,673.22/x
  3. Step 3: Cross multiply
    31,859.65x = 47,786.38 × 9,673.22
  4. Step 4: Simplify right side
    31,859.65x = 462,248,289.23
  5. Step 5: Solve for x
    x = 462,248,289.23/31,859.65
  6. Step 6: Final answer
    x = 14,508.89

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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.