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Finding the Fourth Proportional to 37,594.50, 56,395.56 and 13,908.30

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Solution

The fourth proportional to 37,594.50, 56,395.56 and 13,908.30 is: 20,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,594.50 : 56,395.56 = 13,908.30 : x
  2. Step 2: Convert to fraction form
    37,594.50/56,395.56 = 13,908.30/x
  3. Step 3: Cross multiply
    37,594.50x = 56,395.56 × 13,908.30
  4. Step 4: Simplify right side
    37,594.50x = 784,366,367.15
  5. Step 5: Solve for x
    x = 784,366,367.15/37,594.50
  6. Step 6: Final answer
    x = 20,863.86

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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.