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Finding the Fourth Proportional to 50,982.40, 76,322.40 and 37,892.80

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Solution

The fourth proportional to 50,982.40, 76,322.40 and 37,892.80 is: 56,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,982.40 : 76,322.40 = 37,892.80 : x
  2. Step 2: Convert to fraction form
    50,982.40/76,322.40 = 37,892.80/x
  3. Step 3: Cross multiply
    50,982.40x = 76,322.40 × 37,892.80
  4. Step 4: Simplify right side
    50,982.40x = 2,892,069,438.72
  5. Step 5: Solve for x
    x = 2,892,069,438.72/50,982.40
  6. Step 6: Final answer
    x = 56,726.82

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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.