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Finding the Fourth Proportional to 34,412.34, 51,618.48 and 9,452.49

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Solution

The fourth proportional to 34,412.34, 51,618.48 and 9,452.49 is: 14,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.34 : 51,618.48 = 9,452.49 : x
  2. Step 2: Convert to fraction form
    34,412.34/51,618.48 = 9,452.49/x
  3. Step 3: Cross multiply
    34,412.34x = 51,618.48 × 9,452.49
  4. Step 4: Simplify right side
    34,412.34x = 487,923,166.02
  5. Step 5: Solve for x
    x = 487,923,166.02/34,412.34
  6. Step 6: Final answer
    x = 14,178.73

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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.