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Finding the Fourth Proportional to 34,493.14, 51,747.87 and 12,308.50

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Solution

The fourth proportional to 34,493.14, 51,747.87 and 12,308.50 is: 18,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493.14 : 51,747.87 = 12,308.50 : x
  2. Step 2: Convert to fraction form
    34,493.14/51,747.87 = 12,308.50/x
  3. Step 3: Cross multiply
    34,493.14x = 51,747.87 × 12,308.50
  4. Step 4: Simplify right side
    34,493.14x = 636,938,657.90
  5. Step 5: Solve for x
    x = 636,938,657.90/34,493.14
  6. Step 6: Final answer
    x = 18,465.66

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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.