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Finding the Fourth Proportional to 54,305, 74,945.22 and 31,953.32

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Solution

The fourth proportional to 54,305, 74,945.22 and 31,953.32 is: 44,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,305 : 74,945.22 = 31,953.32 : x
  2. Step 2: Convert to fraction form
    54,305/74,945.22 = 31,953.32/x
  3. Step 3: Cross multiply
    54,305x = 74,945.22 × 31,953.32
  4. Step 4: Simplify right side
    54,305x = 2,394,748,597.13
  5. Step 5: Solve for x
    x = 2,394,748,597.13/54,305
  6. Step 6: Final answer
    x = 44,098.12

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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.