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Finding the Fourth Proportional to 34,167.52, 51,247.14 and 9,209.80

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Solution

The fourth proportional to 34,167.52, 51,247.14 and 9,209.80 is: 13,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,167.52 : 51,247.14 = 9,209.80 : x
  2. Step 2: Convert to fraction form
    34,167.52/51,247.14 = 9,209.80/x
  3. Step 3: Cross multiply
    34,167.52x = 51,247.14 × 9,209.80
  4. Step 4: Simplify right side
    34,167.52x = 471,975,909.97
  5. Step 5: Solve for x
    x = 471,975,909.97/34,167.52
  6. Step 6: Final answer
    x = 13,813.58

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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.