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Finding the Fourth Proportional to 71,836.32, 107,803.64 and 25,089.20

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Solution

The fourth proportional to 71,836.32, 107,803.64 and 25,089.20 is: 37,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836.32 : 107,803.64 = 25,089.20 : x
  2. Step 2: Convert to fraction form
    71,836.32/107,803.64 = 25,089.20/x
  3. Step 3: Cross multiply
    71,836.32x = 107,803.64 × 25,089.20
  4. Step 4: Simplify right side
    71,836.32x = 2,704,707,084.69
  5. Step 5: Solve for x
    x = 2,704,707,084.69/71,836.32
  6. Step 6: Final answer
    x = 37,650.97

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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.