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Finding the Fourth Proportional to 38,324.28, 52,857.50 and 24,899.84

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Solution

The fourth proportional to 38,324.28, 52,857.50 and 24,899.84 is: 34,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324.28 : 52,857.50 = 24,899.84 : x
  2. Step 2: Convert to fraction form
    38,324.28/52,857.50 = 24,899.84/x
  3. Step 3: Cross multiply
    38,324.28x = 52,857.50 × 24,899.84
  4. Step 4: Simplify right side
    38,324.28x = 1,316,143,292.80
  5. Step 5: Solve for x
    x = 1,316,143,292.80/38,324.28
  6. Step 6: Final answer
    x = 34,342.28

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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.