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Finding the Fourth Proportional to 50,803.73, 70,109.06 and 28,142.76

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Solution

The fourth proportional to 50,803.73, 70,109.06 and 28,142.76 is: 38,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.73 : 70,109.06 = 28,142.76 : x
  2. Step 2: Convert to fraction form
    50,803.73/70,109.06 = 28,142.76/x
  3. Step 3: Cross multiply
    50,803.73x = 70,109.06 × 28,142.76
  4. Step 4: Simplify right side
    50,803.73x = 1,973,062,449.41
  5. Step 5: Solve for x
    x = 1,973,062,449.41/50,803.73
  6. Step 6: Final answer
    x = 38,836.96

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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.