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Finding the Fourth Proportional to 53,838.49, 74,296.37 and 29,965.18

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Solution

The fourth proportional to 53,838.49, 74,296.37 and 29,965.18 is: 41,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838.49 : 74,296.37 = 29,965.18 : x
  2. Step 2: Convert to fraction form
    53,838.49/74,296.37 = 29,965.18/x
  3. Step 3: Cross multiply
    53,838.49x = 74,296.37 × 29,965.18
  4. Step 4: Simplify right side
    53,838.49x = 2,226,304,100.40
  5. Step 5: Solve for x
    x = 2,226,304,100.40/53,838.49
  6. Step 6: Final answer
    x = 41,351.53

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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.