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Finding the Fourth Proportional to 54,324.27, 74,960.64 and 31,670.60

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Solution

The fourth proportional to 54,324.27, 74,960.64 and 31,670.60 is: 43,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.27 : 74,960.64 = 31,670.60 : x
  2. Step 2: Convert to fraction form
    54,324.27/74,960.64 = 31,670.60/x
  3. Step 3: Cross multiply
    54,324.27x = 74,960.64 × 31,670.60
  4. Step 4: Simplify right side
    54,324.27x = 2,374,048,070.38
  5. Step 5: Solve for x
    x = 2,374,048,070.38/54,324.27
  6. Step 6: Final answer
    x = 43,701.43

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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.