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Finding the Fourth Proportional to 54,297, 74,934.18 and 31,945.32

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Solution

The fourth proportional to 54,297, 74,934.18 and 31,945.32 is: 44,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,297 : 74,934.18 = 31,945.32 : x
  2. Step 2: Convert to fraction form
    54,297/74,934.18 = 31,945.32/x
  3. Step 3: Cross multiply
    54,297x = 74,934.18 × 31,945.32
  4. Step 4: Simplify right side
    54,297x = 2,393,796,359.04
  5. Step 5: Solve for x
    x = 2,393,796,359.04/54,297
  6. Step 6: Final answer
    x = 44,087.08

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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.