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Finding the Fourth Proportional to 75,463.52, 113,218.97 and 31,111.16

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Solution

The fourth proportional to 75,463.52, 113,218.97 and 31,111.16 is: 46,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,463.52 : 113,218.97 = 31,111.16 : x
  2. Step 2: Convert to fraction form
    75,463.52/113,218.97 = 31,111.16/x
  3. Step 3: Cross multiply
    75,463.52x = 113,218.97 × 31,111.16
  4. Step 4: Simplify right side
    75,463.52x = 3,522,372,769.05
  5. Step 5: Solve for x
    x = 3,522,372,769.05/75,463.52
  6. Step 6: Final answer
    x = 46,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.