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Finding the Fourth Proportional to 38,674.78, 53,271.37 and 27,324.58

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Solution

The fourth proportional to 38,674.78, 53,271.37 and 27,324.58 is: 37,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,674.78 : 53,271.37 = 27,324.58 : x
  2. Step 2: Convert to fraction form
    38,674.78/53,271.37 = 27,324.58/x
  3. Step 3: Cross multiply
    38,674.78x = 53,271.37 × 27,324.58
  4. Step 4: Simplify right side
    38,674.78x = 1,455,617,544.92
  5. Step 5: Solve for x
    x = 1,455,617,544.92/38,674.78
  6. Step 6: Final answer
    x = 37,637.38

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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.