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Finding the Fourth Proportional to 34,149.96, 51,240.78 and 14,433.12

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Solution

The fourth proportional to 34,149.96, 51,240.78 and 14,433.12 is: 21,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.96 : 51,240.78 = 14,433.12 : x
  2. Step 2: Convert to fraction form
    34,149.96/51,240.78 = 14,433.12/x
  3. Step 3: Cross multiply
    34,149.96x = 51,240.78 × 14,433.12
  4. Step 4: Simplify right side
    34,149.96x = 739,564,326.63
  5. Step 5: Solve for x
    x = 739,564,326.63/34,149.96
  6. Step 6: Final answer
    x = 21,656.37

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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.