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Finding the Fourth Proportional to 50,852.43, 70,178.67 and 28,193.90

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Solution

The fourth proportional to 50,852.43, 70,178.67 and 28,193.90 is: 38,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,852.43 : 70,178.67 = 28,193.90 : x
  2. Step 2: Convert to fraction form
    50,852.43/70,178.67 = 28,193.90/x
  3. Step 3: Cross multiply
    50,852.43x = 70,178.67 × 28,193.90
  4. Step 4: Simplify right side
    50,852.43x = 1,978,610,053.22
  5. Step 5: Solve for x
    x = 1,978,610,053.22/50,852.43
  6. Step 6: Final answer
    x = 38,908.86

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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.