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Finding the Fourth Proportional to 50,838.42, 70,157.03 and 28,180.83

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Solution

The fourth proportional to 50,838.42, 70,157.03 and 28,180.83 is: 38,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,838.42 : 70,157.03 = 28,180.83 : x
  2. Step 2: Convert to fraction form
    50,838.42/70,157.03 = 28,180.83/x
  3. Step 3: Cross multiply
    50,838.42x = 70,157.03 × 28,180.83
  4. Step 4: Simplify right side
    50,838.42x = 1,977,083,335.73
  5. Step 5: Solve for x
    x = 1,977,083,335.73/50,838.42
  6. Step 6: Final answer
    x = 38,889.55

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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.