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Finding the Fourth Proportional to 50,803.44, 70,109.22 and 30,656.44

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Solution

The fourth proportional to 50,803.44, 70,109.22 and 30,656.44 is: 42,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.44 : 70,109.22 = 30,656.44 : x
  2. Step 2: Convert to fraction form
    50,803.44/70,109.22 = 30,656.44/x
  3. Step 3: Cross multiply
    50,803.44x = 70,109.22 × 30,656.44
  4. Step 4: Simplify right side
    50,803.44x = 2,149,299,096.38
  5. Step 5: Solve for x
    x = 2,149,299,096.38/50,803.44
  6. Step 6: Final answer
    x = 42,306.17

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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.