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Finding the Fourth Proportional to 53,190.48, 79,631.16 and 30,936

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Solution

The fourth proportional to 53,190.48, 79,631.16 and 30,936 is: 46,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,190.48 : 79,631.16 = 30,936 : x
  2. Step 2: Convert to fraction form
    53,190.48/79,631.16 = 30,936/x
  3. Step 3: Cross multiply
    53,190.48x = 79,631.16 × 30,936
  4. Step 4: Simplify right side
    53,190.48x = 2,463,469,565.76
  5. Step 5: Solve for x
    x = 2,463,469,565.76/53,190.48
  6. Step 6: Final answer
    x = 46,314.11

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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.