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Finding the Fourth Proportional to 34,253.40, 51,345 and 21,782.64

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Solution

The fourth proportional to 34,253.40, 51,345 and 21,782.64 is: 32,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.40 : 51,345 = 21,782.64 : x
  2. Step 2: Convert to fraction form
    34,253.40/51,345 = 21,782.64/x
  3. Step 3: Cross multiply
    34,253.40x = 51,345 × 21,782.64
  4. Step 4: Simplify right side
    34,253.40x = 1,118,429,650.80
  5. Step 5: Solve for x
    x = 1,118,429,650.80/34,253.40
  6. Step 6: Final answer
    x = 32,651.64

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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.