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Finding the Fourth Proportional to 34,425.30, 51,639.78 and 9,464.80

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Solution

The fourth proportional to 34,425.30, 51,639.78 and 9,464.80 is: 14,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,425.30 : 51,639.78 = 9,464.80 : x
  2. Step 2: Convert to fraction form
    34,425.30/51,639.78 = 9,464.80/x
  3. Step 3: Cross multiply
    34,425.30x = 51,639.78 × 9,464.80
  4. Step 4: Simplify right side
    34,425.30x = 488,760,139.72
  5. Step 5: Solve for x
    x = 488,760,139.72/34,425.30
  6. Step 6: Final answer
    x = 14,197.70

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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.