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Finding the Fourth Proportional to 34,278.46, 51,275.50 and 32,178.94

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Solution

The fourth proportional to 34,278.46, 51,275.50 and 32,178.94 is: 48,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278.46 : 51,275.50 = 32,178.94 : x
  2. Step 2: Convert to fraction form
    34,278.46/51,275.50 = 32,178.94/x
  3. Step 3: Cross multiply
    34,278.46x = 51,275.50 × 32,178.94
  4. Step 4: Simplify right side
    34,278.46x = 1,649,991,029.33
  5. Step 5: Solve for x
    x = 1,649,991,029.33/34,278.46
  6. Step 6: Final answer
    x = 48,134.93

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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.