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Finding the Fourth Proportional to 56,142.38, 77,476.50 and 30,991.88

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Solution

The fourth proportional to 56,142.38, 77,476.50 and 30,991.88 is: 42,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142.38 : 77,476.50 = 30,991.88 : x
  2. Step 2: Convert to fraction form
    56,142.38/77,476.50 = 30,991.88/x
  3. Step 3: Cross multiply
    56,142.38x = 77,476.50 × 30,991.88
  4. Step 4: Simplify right side
    56,142.38x = 2,401,142,003.44
  5. Step 5: Solve for x
    x = 2,401,142,003.44/56,142.38
  6. Step 6: Final answer
    x = 42,768.80

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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.