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Finding the Fourth Proportional to 38,271.88, 57,412.14 and 16,081.12

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Solution

The fourth proportional to 38,271.88, 57,412.14 and 16,081.12 is: 24,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,271.88 : 57,412.14 = 16,081.12 : x
  2. Step 2: Convert to fraction form
    38,271.88/57,412.14 = 16,081.12/x
  3. Step 3: Cross multiply
    38,271.88x = 57,412.14 × 16,081.12
  4. Step 4: Simplify right side
    38,271.88x = 923,251,512.80
  5. Step 5: Solve for x
    x = 923,251,512.80/38,271.88
  6. Step 6: Final answer
    x = 24,123.50

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Why These Related Problems?

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