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Finding the Fourth Proportional to 38,434.38, 57,637.70 and 16,249.48

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Solution

The fourth proportional to 38,434.38, 57,637.70 and 16,249.48 is: 24,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.38 : 57,637.70 = 16,249.48 : x
  2. Step 2: Convert to fraction form
    38,434.38/57,637.70 = 16,249.48/x
  3. Step 3: Cross multiply
    38,434.38x = 57,637.70 × 16,249.48
  4. Step 4: Simplify right side
    38,434.38x = 936,582,653.40
  5. Step 5: Solve for x
    x = 936,582,653.40/38,434.38
  6. Step 6: Final answer
    x = 24,368.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.