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Finding the Fourth Proportional to 37,891.88, 56,835.80 and 11,596.64

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Solution

The fourth proportional to 37,891.88, 56,835.80 and 11,596.64 is: 17,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.88 : 56,835.80 = 11,596.64 : x
  2. Step 2: Convert to fraction form
    37,891.88/56,835.80 = 11,596.64/x
  3. Step 3: Cross multiply
    37,891.88x = 56,835.80 × 11,596.64
  4. Step 4: Simplify right side
    37,891.88x = 659,104,311.71
  5. Step 5: Solve for x
    x = 659,104,311.71/37,891.88
  6. Step 6: Final answer
    x = 17,394.34

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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.