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Finding the Fourth Proportional to 50,382.86, 75,570.33 and 15,322.46

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Solution

The fourth proportional to 50,382.86, 75,570.33 and 15,322.46 is: 22,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382.86 : 75,570.33 = 15,322.46 : x
  2. Step 2: Convert to fraction form
    50,382.86/75,570.33 = 15,322.46/x
  3. Step 3: Cross multiply
    50,382.86x = 75,570.33 × 15,322.46
  4. Step 4: Simplify right side
    50,382.86x = 1,157,923,358.61
  5. Step 5: Solve for x
    x = 1,157,923,358.61/50,382.86
  6. Step 6: Final answer
    x = 22,982.49

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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.