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Finding the Fourth Proportional to 38,701.74, 53,399.07 and 24,549.42

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Solution

The fourth proportional to 38,701.74, 53,399.07 and 24,549.42 is: 33,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.74 : 53,399.07 = 24,549.42 : x
  2. Step 2: Convert to fraction form
    38,701.74/53,399.07 = 24,549.42/x
  3. Step 3: Cross multiply
    38,701.74x = 53,399.07 × 24,549.42
  4. Step 4: Simplify right side
    38,701.74x = 1,310,916,197.04
  5. Step 5: Solve for x
    x = 1,310,916,197.04/38,701.74
  6. Step 6: Final answer
    x = 33,872.28

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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.