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Finding the Fourth Proportional to 34,542.30, 51,811.32 and 12,354.60

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Solution

The fourth proportional to 34,542.30, 51,811.32 and 12,354.60 is: 18,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.30 : 51,811.32 = 12,354.60 : x
  2. Step 2: Convert to fraction form
    34,542.30/51,811.32 = 12,354.60/x
  3. Step 3: Cross multiply
    34,542.30x = 51,811.32 × 12,354.60
  4. Step 4: Simplify right side
    34,542.30x = 640,108,134.07
  5. Step 5: Solve for x
    x = 640,108,134.07/34,542.30
  6. Step 6: Final answer
    x = 18,531.14

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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.