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Finding the Fourth Proportional to 55,138.67, 76,108.70 and 31,281.20

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Solution

The fourth proportional to 55,138.67, 76,108.70 and 31,281.20 is: 43,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138.67 : 76,108.70 = 31,281.20 : x
  2. Step 2: Convert to fraction form
    55,138.67/76,108.70 = 31,281.20/x
  3. Step 3: Cross multiply
    55,138.67x = 76,108.70 × 31,281.20
  4. Step 4: Simplify right side
    55,138.67x = 2,380,771,164.10
  5. Step 5: Solve for x
    x = 2,380,771,164.10/55,138.67
  6. Step 6: Final answer
    x = 43,177.89

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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.