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Finding the Fourth Proportional to 34,254.71, 51,380.90 and 12,067.50

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Solution

The fourth proportional to 34,254.71, 51,380.90 and 12,067.50 is: 18,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,254.71 : 51,380.90 = 12,067.50 : x
  2. Step 2: Convert to fraction form
    34,254.71/51,380.90 = 12,067.50/x
  3. Step 3: Cross multiply
    34,254.71x = 51,380.90 × 12,067.50
  4. Step 4: Simplify right side
    34,254.71x = 620,038,950.41
  5. Step 5: Solve for x
    x = 620,038,950.41/34,254.71
  6. Step 6: Final answer
    x = 18,100.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.