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Finding the Fourth Proportional to 54,697.33, 75,489.06 and 30,829.87

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Solution

The fourth proportional to 54,697.33, 75,489.06 and 30,829.87 is: 42,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.33 : 75,489.06 = 30,829.87 : x
  2. Step 2: Convert to fraction form
    54,697.33/75,489.06 = 30,829.87/x
  3. Step 3: Cross multiply
    54,697.33x = 75,489.06 × 30,829.87
  4. Step 4: Simplify right side
    54,697.33x = 2,327,317,906.22
  5. Step 5: Solve for x
    x = 2,327,317,906.22/54,697.33
  6. Step 6: Final answer
    x = 42,549.02

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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.