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Finding the Fourth Proportional to 38,741.06, 53,463.57 and 21,974.06

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Solution

The fourth proportional to 38,741.06, 53,463.57 and 21,974.06 is: 30,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741.06 : 53,463.57 = 21,974.06 : x
  2. Step 2: Convert to fraction form
    38,741.06/53,463.57 = 21,974.06/x
  3. Step 3: Cross multiply
    38,741.06x = 53,463.57 × 21,974.06
  4. Step 4: Simplify right side
    38,741.06x = 1,174,811,694.99
  5. Step 5: Solve for x
    x = 1,174,811,694.99/38,741.06
  6. Step 6: Final answer
    x = 30,324.72

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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.