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Finding the Fourth Proportional to 54,937.98, 82,409.00 and 15,496.14

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Solution

The fourth proportional to 54,937.98, 82,409.00 and 15,496.14 is: 23,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.98 : 82,409.00 = 15,496.14 : x
  2. Step 2: Convert to fraction form
    54,937.98/82,409.00 = 15,496.14/x
  3. Step 3: Cross multiply
    54,937.98x = 82,409.00 × 15,496.14
  4. Step 4: Simplify right side
    54,937.98x = 1,277,021,632.81
  5. Step 5: Solve for x
    x = 1,277,021,632.81/54,937.98
  6. Step 6: Final answer
    x = 23,244.79

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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.