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Finding the Fourth Proportional to 34,527, 51,791.61 and 9,567.29

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Solution

The fourth proportional to 34,527, 51,791.61 and 9,567.29 is: 14,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527 : 51,791.61 = 9,567.29 : x
  2. Step 2: Convert to fraction form
    34,527/51,791.61 = 9,567.29/x
  3. Step 3: Cross multiply
    34,527x = 51,791.61 × 9,567.29
  4. Step 4: Simplify right side
    34,527x = 495,505,352.44
  5. Step 5: Solve for x
    x = 495,505,352.44/34,527
  6. Step 6: Final answer
    x = 14,351.24

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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.