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Finding the Fourth Proportional to 54,307.44, 81,355.80 and 40,050

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Solution

The fourth proportional to 54,307.44, 81,355.80 and 40,050 is: 59,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,307.44 : 81,355.80 = 40,050 : x
  2. Step 2: Convert to fraction form
    54,307.44/81,355.80 = 40,050/x
  3. Step 3: Cross multiply
    54,307.44x = 81,355.80 × 40,050
  4. Step 4: Simplify right side
    54,307.44x = 3,258,299,790
  5. Step 5: Solve for x
    x = 3,258,299,790/54,307.44
  6. Step 6: Final answer
    x = 59,997.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.