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Finding the Fourth Proportional to 34,178.88, 51,341.18 and 32,181.40

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Solution

The fourth proportional to 34,178.88, 51,341.18 and 32,181.40 is: 48,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.88 : 51,341.18 = 32,181.40 : x
  2. Step 2: Convert to fraction form
    34,178.88/51,341.18 = 32,181.40/x
  3. Step 3: Cross multiply
    34,178.88x = 51,341.18 × 32,181.40
  4. Step 4: Simplify right side
    34,178.88x = 1,652,231,050.05
  5. Step 5: Solve for x
    x = 1,652,231,050.05/34,178.88
  6. Step 6: Final answer
    x = 48,340.70

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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.