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Finding the Fourth Proportional to 71,232.71, 106,754.68 and 37,880.96

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Solution

The fourth proportional to 71,232.71, 106,754.68 and 37,880.96 is: 56,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,232.71 : 106,754.68 = 37,880.96 : x
  2. Step 2: Convert to fraction form
    71,232.71/106,754.68 = 37,880.96/x
  3. Step 3: Cross multiply
    71,232.71x = 106,754.68 × 37,880.96
  4. Step 4: Simplify right side
    71,232.71x = 4,043,969,039.71
  5. Step 5: Solve for x
    x = 4,043,969,039.71/71,232.71
  6. Step 6: Final answer
    x = 56,771.24

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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.