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Finding the Fourth Proportional to 56,142.46, 77,476.41 and 30,991.78

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Solution

The fourth proportional to 56,142.46, 77,476.41 and 30,991.78 is: 42,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142.46 : 77,476.41 = 30,991.78 : x
  2. Step 2: Convert to fraction form
    56,142.46/77,476.41 = 30,991.78/x
  3. Step 3: Cross multiply
    56,142.46x = 77,476.41 × 30,991.78
  4. Step 4: Simplify right side
    56,142.46x = 2,401,131,853.91
  5. Step 5: Solve for x
    x = 2,401,131,853.91/56,142.46
  6. Step 6: Final answer
    x = 42,768.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.