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Finding the Fourth Proportional to 34,225.68, 51,308.52 and 16,447.44

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Solution

The fourth proportional to 34,225.68, 51,308.52 and 16,447.44 is: 24,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.68 : 51,308.52 = 16,447.44 : x
  2. Step 2: Convert to fraction form
    34,225.68/51,308.52 = 16,447.44/x
  3. Step 3: Cross multiply
    34,225.68x = 51,308.52 × 16,447.44
  4. Step 4: Simplify right side
    34,225.68x = 843,893,804.19
  5. Step 5: Solve for x
    x = 843,893,804.19/34,225.68
  6. Step 6: Final answer
    x = 24,656.74

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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.