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Finding the Fourth Proportional to 31,033.65, 46,514.02 and 14,358.45

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Solution

The fourth proportional to 31,033.65, 46,514.02 and 14,358.45 is: 21,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.65 : 46,514.02 = 14,358.45 : x
  2. Step 2: Convert to fraction form
    31,033.65/46,514.02 = 14,358.45/x
  3. Step 3: Cross multiply
    31,033.65x = 46,514.02 × 14,358.45
  4. Step 4: Simplify right side
    31,033.65x = 667,869,230.47
  5. Step 5: Solve for x
    x = 667,869,230.47/31,033.65
  6. Step 6: Final answer
    x = 21,520.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.