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Finding the Fourth Proportional to 50,803.92, 70,108.49 and 28,142.84

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Solution

The fourth proportional to 50,803.92, 70,108.49 and 28,142.84 is: 38,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.92 : 70,108.49 = 28,142.84 : x
  2. Step 2: Convert to fraction form
    50,803.92/70,108.49 = 28,142.84/x
  3. Step 3: Cross multiply
    50,803.92x = 70,108.49 × 28,142.84
  4. Step 4: Simplify right side
    50,803.92x = 1,973,051,615.86
  5. Step 5: Solve for x
    x = 1,973,051,615.86/50,803.92
  6. Step 6: Final answer
    x = 38,836.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.