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Finding the Fourth Proportional to 34,650.71, 51,969.77 and 9,684.57

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Solution

The fourth proportional to 34,650.71, 51,969.77 and 9,684.57 is: 14,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650.71 : 51,969.77 = 9,684.57 : x
  2. Step 2: Convert to fraction form
    34,650.71/51,969.77 = 9,684.57/x
  3. Step 3: Cross multiply
    34,650.71x = 51,969.77 × 9,684.57
  4. Step 4: Simplify right side
    34,650.71x = 503,304,827.03
  5. Step 5: Solve for x
    x = 503,304,827.03/34,650.71
  6. Step 6: Final answer
    x = 14,525.10

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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.