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Finding the Fourth Proportional to 53,690.82, 74,093.31 and 31,334.82

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Solution

The fourth proportional to 53,690.82, 74,093.31 and 31,334.82 is: 43,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,690.82 : 74,093.31 = 31,334.82 : x
  2. Step 2: Convert to fraction form
    53,690.82/74,093.31 = 31,334.82/x
  3. Step 3: Cross multiply
    53,690.82x = 74,093.31 × 31,334.82
  4. Step 4: Simplify right side
    53,690.82x = 2,321,700,532.05
  5. Step 5: Solve for x
    x = 2,321,700,532.05/53,690.82
  6. Step 6: Final answer
    x = 43,242.04

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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.