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Finding the Fourth Proportional to 53,809.20, 74,257.56 and 29,936.16

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Solution

The fourth proportional to 53,809.20, 74,257.56 and 29,936.16 is: 41,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,809.20 : 74,257.56 = 29,936.16 : x
  2. Step 2: Convert to fraction form
    53,809.20/74,257.56 = 29,936.16/x
  3. Step 3: Cross multiply
    53,809.20x = 74,257.56 × 29,936.16
  4. Step 4: Simplify right side
    53,809.20x = 2,222,986,197.37
  5. Step 5: Solve for x
    x = 2,222,986,197.37/53,809.20
  6. Step 6: Final answer
    x = 41,312.38

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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.