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Finding the Fourth Proportional to 90,096.30, 135,029.43 and 42,711.30

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Solution

The fourth proportional to 90,096.30, 135,029.43 and 42,711.30 is: 64,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,096.30 : 135,029.43 = 42,711.30 : x
  2. Step 2: Convert to fraction form
    90,096.30/135,029.43 = 42,711.30/x
  3. Step 3: Cross multiply
    90,096.30x = 135,029.43 × 42,711.30
  4. Step 4: Simplify right side
    90,096.30x = 5,767,282,493.56
  5. Step 5: Solve for x
    x = 5,767,282,493.56/90,096.30
  6. Step 6: Final answer
    x = 64,012.42

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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.