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Finding the Fourth Proportional to 34,406.52, 51,618.40 and 9,782.52

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Solution

The fourth proportional to 34,406.52, 51,618.40 and 9,782.52 is: 14,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.52 : 51,618.40 = 9,782.52 : x
  2. Step 2: Convert to fraction form
    34,406.52/51,618.40 = 9,782.52/x
  3. Step 3: Cross multiply
    34,406.52x = 51,618.40 × 9,782.52
  4. Step 4: Simplify right side
    34,406.52x = 504,958,030.37
  5. Step 5: Solve for x
    x = 504,958,030.37/34,406.52
  6. Step 6: Final answer
    x = 14,676.23

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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.