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Finding the Fourth Proportional to 54,057.70, 74,606.25 and 31,391.74

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Solution

The fourth proportional to 54,057.70, 74,606.25 and 31,391.74 is: 43,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057.70 : 74,606.25 = 31,391.74 : x
  2. Step 2: Convert to fraction form
    54,057.70/74,606.25 = 31,391.74/x
  3. Step 3: Cross multiply
    54,057.70x = 74,606.25 × 31,391.74
  4. Step 4: Simplify right side
    54,057.70x = 2,342,020,002.38
  5. Step 5: Solve for x
    x = 2,342,020,002.38/54,057.70
  6. Step 6: Final answer
    x = 43,324.45

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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.