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Finding the Fourth Proportional to 54,324.70, 74,971.24 and 30,459.06

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Solution

The fourth proportional to 54,324.70, 74,971.24 and 30,459.06 is: 42,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.70 : 74,971.24 = 30,459.06 : x
  2. Step 2: Convert to fraction form
    54,324.70/74,971.24 = 30,459.06/x
  3. Step 3: Cross multiply
    54,324.70x = 74,971.24 × 30,459.06
  4. Step 4: Simplify right side
    54,324.70x = 2,283,553,421.29
  5. Step 5: Solve for x
    x = 2,283,553,421.29/54,324.70
  6. Step 6: Final answer
    x = 42,035.27

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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.