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Finding the Fourth Proportional to 50,874.89, 70,126.43 and 40,102.30

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Solution

The fourth proportional to 50,874.89, 70,126.43 and 40,102.30 is: 55,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.89 : 70,126.43 = 40,102.30 : x
  2. Step 2: Convert to fraction form
    50,874.89/70,126.43 = 40,102.30/x
  3. Step 3: Cross multiply
    50,874.89x = 70,126.43 × 40,102.30
  4. Step 4: Simplify right side
    50,874.89x = 2,812,230,783.16
  5. Step 5: Solve for x
    x = 2,812,230,783.16/50,874.89
  6. Step 6: Final answer
    x = 55,277.38

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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.