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Finding the Fourth Proportional to 34,668.40, 51,971.40 and 12,476.56

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Solution

The fourth proportional to 34,668.40, 51,971.40 and 12,476.56 is: 18,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668.40 : 51,971.40 = 12,476.56 : x
  2. Step 2: Convert to fraction form
    34,668.40/51,971.40 = 12,476.56/x
  3. Step 3: Cross multiply
    34,668.40x = 51,971.40 × 12,476.56
  4. Step 4: Simplify right side
    34,668.40x = 648,424,290.38
  5. Step 5: Solve for x
    x = 648,424,290.38/34,668.40
  6. Step 6: Final answer
    x = 18,703.61

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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.