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Finding the Fourth Proportional to 51,791.85, 77,689.59 and 14,348.91

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Solution

The fourth proportional to 51,791.85, 77,689.59 and 14,348.91 is: 21,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,791.85 : 77,689.59 = 14,348.91 : x
  2. Step 2: Convert to fraction form
    51,791.85/77,689.59 = 14,348.91/x
  3. Step 3: Cross multiply
    51,791.85x = 77,689.59 × 14,348.91
  4. Step 4: Simplify right side
    51,791.85x = 1,114,760,934.85
  5. Step 5: Solve for x
    x = 1,114,760,934.85/51,791.85
  6. Step 6: Final answer
    x = 21,523.87

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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.