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Finding the Fourth Proportional to 34,196.50, 51,297.63 and 9,572.50

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Solution

The fourth proportional to 34,196.50, 51,297.63 and 9,572.50 is: 14,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.50 : 51,297.63 = 9,572.50 : x
  2. Step 2: Convert to fraction form
    34,196.50/51,297.63 = 9,572.50/x
  3. Step 3: Cross multiply
    34,196.50x = 51,297.63 × 9,572.50
  4. Step 4: Simplify right side
    34,196.50x = 491,046,563.18
  5. Step 5: Solve for x
    x = 491,046,563.18/34,196.50
  6. Step 6: Final answer
    x = 14,359.56

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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.