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Finding the Fourth Proportional to 55,626.96, 76,763.76 and 31,098

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Solution

The fourth proportional to 55,626.96, 76,763.76 and 31,098 is: 42,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,626.96 : 76,763.76 = 31,098 : x
  2. Step 2: Convert to fraction form
    55,626.96/76,763.76 = 31,098/x
  3. Step 3: Cross multiply
    55,626.96x = 76,763.76 × 31,098
  4. Step 4: Simplify right side
    55,626.96x = 2,387,199,408.48
  5. Step 5: Solve for x
    x = 2,387,199,408.48/55,626.96
  6. Step 6: Final answer
    x = 42,914.43

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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.