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Finding the Fourth Proportional to 37,596, 56,397.81 and 13,909.80

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Solution

The fourth proportional to 37,596, 56,397.81 and 13,909.80 is: 20,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,596 : 56,397.81 = 13,909.80 : x
  2. Step 2: Convert to fraction form
    37,596/56,397.81 = 13,909.80/x
  3. Step 3: Cross multiply
    37,596x = 56,397.81 × 13,909.80
  4. Step 4: Simplify right side
    37,596x = 784,482,257.54
  5. Step 5: Solve for x
    x = 784,482,257.54/37,596
  6. Step 6: Final answer
    x = 20,866.11

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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.